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59431424 = 29138929
BaseRepresentation
bin1110001010110…
…1101000000000
311010211102120212
43202231220000
5110203301144
65521453252
71321105313
oct342555000
9133742525
1059431424
1130602788
1217aa1228
13c40b230
147c7097a
15533e49e
hex38ada00

59431424 has 40 divisors (see below), whose sum is σ = 127895460. Its totient is φ = 27426816.

The previous prime is 59431423. The next prime is 59431429. The reversal of 59431424 is 42413495.

It can be written as a sum of positive squares in 2 ways, for example, as 46240000 + 13191424 = 6800^2 + 3632^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (59431423) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2192 + ... + 11120.

Almost surely, 259431424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 59431424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63947730).

59431424 is an abundant number, since it is smaller than the sum of its proper divisors (68464036).

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

59431424 is an equidigital number, since it uses as much as digits as its factorization.

59431424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8960 (or 8944 counting only the distinct ones).

The product of its digits is 17280, while the sum is 32.

The square root of 59431424 is about 7709.1779068848. The cubic root of 59431424 is about 390.2462262788.

The spelling of 59431424 in words is "fifty-nine million, four hundred thirty-one thousand, four hundred twenty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 512 832 1664 3328 6656 8929 17858 35716 71432 116077 142864 232154 285728 464308 571456 928616 1142912 1857232 2285824 3714464 4571648 7428928 14857856 29715712 59431424