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9242057504 = 257137910733
BaseRepresentation
bin10001001101101111…
…01001101100100000
3212212002120011111002
420212313221230200
5122411431320004
64125025211132
7445012123031
oct104667515440
925762504432
109242057504
113a1299a659
12195b190aa8
13b439717a4
14639624a88
1539159261e
hex226de9b20

9242057504 has 48 divisors (see below), whose sum is σ = 18501981120. Its totient is φ = 4543499520.

The previous prime is 9242057459. The next prime is 9242057549. The reversal of 9242057504 is 4057502429.

It is an interprime number because it is at equal distance from previous prime (9242057459) and next prime (9242057549).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 855722 + ... + 866454.

It is an arithmetic number, because the mean of its divisors is an integer number (385457940).

Almost surely, 29242057504 is an apocalyptic number.

It is an amenable number.

9242057504 is an abundant number, since it is smaller than the sum of its proper divisors (9259923616).

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

9242057504 is a wasteful number, since it uses less digits than its factorization.

9242057504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11193 (or 11185 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 38.

The square root of 9242057504 is about 96135.6203703913. The cubic root of 9242057504 is about 2098.5672391745.

The spelling of 9242057504 in words is "nine billion, two hundred forty-two million, fifty-seven thousand, five hundred four".

Divisors: 1 2 4 8 16 32 71 142 284 379 568 758 1136 1516 2272 3032 6064 10733 12128 21466 26909 42932 53818 85864 107636 171728 215272 343456 430544 762043 861088 1524086 3048172 4067807 6096344 8135614 12192688 16271228 24385376 32542456 65084912 130169824 288814297 577628594 1155257188 2310514376 4621028752 9242057504