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536640864 = 25319294211
BaseRepresentation
bin11111111111000…
…111110101100000
31101101210011212120
4133333013311200
52044340001424
6125130024240
716204241424
oct3777076540
91341704776
10536640864
11255a13251
1212b878080
1387243996
14513b2b84
15321a4a79
hex1ffc7d60

536640864 has 48 divisors (see below), whose sum is σ = 1482828480. Its totient is φ = 169464960.

The previous prime is 536640829. The next prime is 536640901. The reversal of 536640864 is 468046635.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 145282 + ... + 148929.

It is an arithmetic number, because the mean of its divisors is an integer number (30892260).

Almost surely, 2536640864 is an apocalyptic number.

It is an amenable number.

536640864 is an abundant number, since it is smaller than the sum of its proper divisors (946187616).

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

536640864 is a wasteful number, since it uses less digits than its factorization.

536640864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294243 (or 294235 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 42.

The square root of 536640864 is about 23165.5102253328. The cubic root of 536640864 is about 812.6332349239.

The spelling of 536640864 in words is "five hundred thirty-six million, six hundred forty thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 304 456 608 912 1824 294211 588422 882633 1176844 1765266 2353688 3530532 4707376 5590009 7061064 9414752 11180018 14122128 16770027 22360036 28244256 33540054 44720072 67080108 89440144 134160216 178880288 268320432 536640864