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5750079400 = 2352132976261
BaseRepresentation
bin1010101101011101…
…10011111110101000
3112211201210022001201
411112232303332220
543234010020100
62350324053544
7262330603612
oct52656637650
915751708051
105750079400
11249085183a
1211458342b4
13708383560
143c7953db2
15239c1c36a
hex156bb3fa8

5750079400 has 96 divisors (see below), whose sum is σ = 14893968600. Its totient is φ = 2049868800.

The previous prime is 5750079397. The next prime is 5750079449. The reversal of 5750079400 is 49700575.

It can be written as a sum of positive squares in 12 ways, for example, as 25341156 + 5724738244 = 5034^2 + 75662^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 5750079400.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37270 + ... + 113530.

Almost surely, 25750079400 is an apocalyptic number.

5750079400 is a gapful number since it is divisible by the number (50) 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 5750079400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7446984300).

5750079400 is an abundant number, since it is smaller than the sum of its proper divisors (9143889200).

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

5750079400 is a wasteful number, since it uses less digits than its factorization.

5750079400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76319 (or 76310 counting only the distinct ones).

The product of its (nonzero) digits is 44100, while the sum is 37.

The square root of 5750079400 is about 75829.2779868040. The cubic root of 5750079400 is about 1791.5321816729.

Adding to 5750079400 its reverse (49700575), we get a palindrome (5799779975).

It can be divided in two parts, 57500 and 79400, that added together give a square (136900 = 3702).

The spelling of 5750079400 in words is "five billion, seven hundred fifty million, seventy-nine thousand, four hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 29 40 50 52 58 65 100 104 116 130 145 200 232 260 290 325 377 520 580 650 725 754 1160 1300 1450 1508 1885 2600 2900 3016 3770 5800 7540 9425 15080 18850 37700 75400 76261 152522 305044 381305 610088 762610 991393 1525220 1906525 1982786 2211569 3050440 3813050 3965572 4423138 4956965 7626100 7931144 8846276 9913930 11057845 15252200 17692552 19827860 22115690 24784825 28750397 39655720 44231380 49569650 55289225 57500794 88462760 99139300 110578450 115001588 143751985 198278600 221156900 230003176 287503970 442313800 575007940 718759925 1150015880 1437519850 2875039700 5750079400