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5027434496 = 2127237677
BaseRepresentation
bin1001010111010100…
…01001000000000000
3110222101000010121122
410223222021000000
540244010400441
62150511211412
7235404326300
oct45352110000
913871003548
105027434496
11214a945a47
12b83816b68
13621745c16
143599a3600
151e657534b
hex12ba89000

5027434496 has 156 divisors (see below), whose sum is σ = 12028876668. Its totient is φ = 2093285376.

The previous prime is 5027434493. The next prime is 5027434501. The reversal of 5027434496 is 6944347205.

It can be written as a sum of positive squares in 2 ways, for example, as 4821913600 + 205520896 = 69440^2 + 14336^2 .

It is a super-2 number, since 2×50274344962 = 50550195223141548032, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5027434493) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7425710 + ... + 7426386.

Almost surely, 25027434496 is an apocalyptic number.

5027434496 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5027434496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6014438334).

5027434496 is an abundant number, since it is smaller than the sum of its proper divisors (7001442172).

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

5027434496 is an equidigital number, since it uses as much as digits as its factorization.

5027434496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 752 (or 723 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 44.

The square root of 5027434496 is about 70904.4039252852. The cubic root of 5027434496 is about 1713.0977325293.

The spelling of 5027434496 in words is "five billion, twenty-seven million, four hundred thirty-four thousand, four hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 37 49 56 64 74 98 112 128 148 196 224 256 259 296 392 448 512 518 592 677 784 896 1024 1036 1184 1354 1568 1792 1813 2048 2072 2368 2708 3136 3584 3626 4096 4144 4736 4739 5416 6272 7168 7252 8288 9472 9478 10832 12544 14336 14504 16576 18944 18956 21664 25049 25088 28672 29008 33152 33173 37888 37912 43328 50098 50176 58016 66304 66346 75776 75824 86656 100196 100352 116032 132608 132692 151552 151648 173312 175343 200392 200704 232064 265216 265384 303296 346624 350686 400784 464128 530432 530768 606592 693248 701372 801568 928256 1060864 1061536 1213184 1227401 1386496 1402744 1603136 1856512 2123072 2426368 2454802 2772992 2805488 3206272 3713024 4246144 4852736 4909604 5610976 6412544 7426048 8492288 9705472 9819208 11221952 12825088 16984576 19410944 19638416 22443904 25650176 33969152 39276832 44887808 51300352 67938304 78553664 89775616 102600704 135876608 157107328 179551232 314214656 359102464 628429312 718204928 1256858624 2513717248 5027434496