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5757790500 = 22335371129191
BaseRepresentation
bin1010101110011000…
…01110100100100100
3112212021022001201000
411113030032210210
543242443244000
62351201233300
7262453261140
oct52714164444
915767261630
105757790500
112495139250
121148332830
13709b53337
143c89a0220
1523a742000
hex15730e924

5757790500 has 768 divisors, whose sum is σ = 24153292800. Its totient is φ = 1149120000.

The previous prime is 5757790481. The next prime is 5757790523. The reversal of 5757790500 is 50977575.

5757790500 is a `hidden beast` number, since 5 + 7 + 57 + 7 + 90 + 500 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 30145405 + ... + 30145595.

It is an arithmetic number, because the mean of its divisors is an integer number (31449600).

Almost surely, 25757790500 is an apocalyptic number.

5757790500 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 5757790500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12076646400).

5757790500 is an abundant number, since it is smaller than the sum of its proper divisors (18395502300).

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

5757790500 is a wasteful number, since it uses less digits than its factorization.

5757790500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 385875, while the sum is 45.

The square root of 5757790500 is about 75880.1060884867. The cubic root of 5757790500 is about 1792.3326641291.

The spelling of 5757790500 in words is "five billion, seven hundred fifty-seven million, seven hundred ninety thousand, five hundred".