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23046464 = 26727349
BaseRepresentation
bin101011111101…
…0100101000000
31121100212210202
41113322211000
521344441324
62141544332
7366614600
oct127724500
947325722
1023046464
1112011171
1278750a8
134a0bc7c
1430bcc00
1520538ae
hex15fa940

23046464 has 42 divisors (see below), whose sum is σ = 53206650. Its totient is φ = 9875712.

The previous prime is 23046431. The next prime is 23046479. The reversal of 23046464 is 46464032.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 21086464 + 1960000 = 4592^2 + 1400^2 .

It is a super-2 number, since 2×230464642 = 1062279005806592, which contains 22 as substring.

23046464 is a modest number, since divided by 6464 gives 2304 as remainder.

It is a zygodrome in base 4.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 539 + ... + 6810.

It is an arithmetic number, because the mean of its divisors is an integer number (1266825).

Almost surely, 223046464 is an apocalyptic number.

It is an amenable number.

23046464 is an abundant number, since it is smaller than the sum of its proper divisors (30160186).

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

23046464 is an equidigital number, since it uses as much as digits as its factorization.

23046464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7375 (or 7358 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 29.

The square root of 23046464 is about 4800.6732861131. The cubic root of 23046464 is about 284.5780727024.

The spelling of 23046464 in words is "twenty-three million, forty-six thousand, four hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 224 392 448 784 1568 3136 7349 14698 29396 51443 58792 102886 117584 205772 235168 360101 411544 470336 720202 823088 1440404 1646176 2880808 3292352 5761616 11523232 23046464