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972904104 = 233254124977
BaseRepresentation
bin111001111111010…
…101011010101000
32111210200122112100
4321333111122220
53443030412404
6240312413400
733052356054
oct7177253250
92453618470
10972904104
1145a1a7287
122319a7260
13126741003
14932d6c64
155a62cd39
hex39fd56a8

972904104 has 48 divisors (see below), whose sum is σ = 2639924820. Its totient is φ = 323688960.

The previous prime is 972904103. The next prime is 972904133. The reversal of 972904104 is 401409279.

It can be written as a sum of positive squares in 2 ways, for example, as 840884004 + 132020100 = 28998^2 + 11490^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (972904103) 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, 26464 + ... + 51440.

Almost surely, 2972904104 is an apocalyptic number.

It is an amenable number.

972904104 is an abundant number, since it is smaller than the sum of its proper divisors (1667020716).

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

972904104 is a wasteful number, since it uses less digits than its factorization.

972904104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25530 (or 25523 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 972904104 is about 31191.4107407793. The cubic root of 972904104 is about 990.8852076443.

The spelling of 972904104 in words is "nine hundred seventy-two million, nine hundred four thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 541 1082 1623 2164 3246 4328 4869 6492 9738 12984 19476 24977 38952 49954 74931 99908 149862 199816 224793 299724 449586 599448 899172 1798344 13512557 27025114 40537671 54050228 81075342 108100456 121613013 162150684 243226026 324301368 486452052 972904104