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49564064 = 25111391013
BaseRepresentation
bin1011110100010…
…0100110100000
310110021010010002
42331010212200
5100142022224
64530155132
71141200434
oct275044640
9113233102
1049564064
1125a83240
1214722aa8
13a364b64
1468229c4
1545409ae
hex2f449a0

49564064 has 48 divisors (see below), whose sum is σ = 107321760. Its totient is φ = 22344960.

The previous prime is 49564051. The next prime is 49564087. The reversal of 49564064 is 46046594.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48422 + ... + 49434.

It is an arithmetic number, because the mean of its divisors is an integer number (2235870).

Almost surely, 249564064 is an apocalyptic number.

49564064 is a gapful number since it is divisible by the number (44) 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 49564064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53660880).

49564064 is an abundant number, since it is smaller than the sum of its proper divisors (57757696).

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

49564064 is a wasteful number, since it uses less digits than its factorization.

49564064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1173 (or 1165 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 38.

The square root of 49564064 is about 7040.1749978250. The cubic root of 49564064 is about 367.3293551157.

The spelling of 49564064 in words is "forty-nine million, five hundred sixty-four thousand, sixty-four".

Divisors: 1 2 4 8 11 16 22 32 44 88 139 176 278 352 556 1013 1112 1529 2026 2224 3058 4052 4448 6116 8104 11143 12232 16208 22286 24464 32416 44572 48928 89144 140807 178288 281614 356576 563228 1126456 1548877 2252912 3097754 4505824 6195508 12391016 24782032 49564064