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5092405752 = 23374671319
BaseRepresentation
bin1001011111000011…
…11111000111111000
3111010220021000102110
410233201333013320
540412123441002
62201151532320
7240123510000
oct45741770770
914126230373
105092405752
1121835918a5
12ba152a0a0
13632043855
14364477000
151ec10ae6c
hex12f87f1f8

5092405752 has 160 divisors (see below), whose sum is σ = 15085065600. Its totient is φ = 1432170432.

The previous prime is 5092405751. The next prime is 5092405753. The reversal of 5092405752 is 2575042905.

It is an interprime number because it is at equal distance from previous prime (5092405751) and next prime (5092405753).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 5092405752.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5092405751) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3860149 + ... + 3861467.

It is an arithmetic number, because the mean of its divisors is an integer number (94281660).

Almost surely, 25092405752 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5092405752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7542532800).

5092405752 is an abundant number, since it is smaller than the sum of its proper divisors (9992659848).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5092405752 is a wasteful number, since it uses less digits than its factorization.

5092405752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1423 (or 1398 counting only the distinct ones).

The product of its (nonzero) digits is 126000, while the sum is 39.

The square root of 5092405752 is about 71361.0941059622. The cubic root of 5092405752 is about 1720.4458182735.

The spelling of 5092405752 in words is "five billion, ninety-two million, four hundred five thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 67 84 98 134 147 168 196 201 268 294 343 392 402 469 536 588 686 804 938 1029 1176 1319 1372 1407 1608 1876 2058 2401 2638 2744 2814 3283 3752 3957 4116 4802 5276 5628 6566 7203 7914 8232 9233 9604 9849 10552 11256 13132 14406 15828 18466 19208 19698 22981 26264 27699 28812 31656 36932 39396 45962 55398 57624 64631 68943 73864 78792 88373 91924 110796 129262 137886 160867 176746 183848 193893 221592 258524 265119 275772 321734 353492 387786 452417 482601 517048 530238 551544 618611 643468 706984 775572 904834 965202 1060476 1237222 1286936 1357251 1551144 1809668 1855833 1930404 2120952 2474444 2714502 3166919 3619336 3711666 3860808 4330277 4948888 5429004 6333838 7423332 8660554 9500757 10858008 12667676 12990831 14846664 17321108 19001514 25335352 25981662 30311939 34642216 38003028 51963324 60623878 76006056 90935817 103926648 121247756 181871634 212183573 242495512 363743268 424367146 636550719 727486536 848734292 1273101438 1697468584 2546202876 5092405752