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52388128 = 2513125933
BaseRepresentation
bin1100011111011…
…0000100100000
310122120121000001
43013312010200
5101402410003
65110505344
71204202032
oct307660440
9118517001
1052388128
1127631a81
1215665254
13ab133c0
146d59c52
1548ec61d
hex31f6120

52388128 has 24 divisors (see below), whose sum is σ = 111073788. Its totient is φ = 24178944.

The previous prime is 52388117. The next prime is 52388173. The reversal of 52388128 is 82188325.

It can be written as a sum of positive squares in 2 ways, for example, as 46949904 + 5438224 = 6852^2 + 2332^2 .

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

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 3 ways as a sum of consecutive naturals, for example, 62551 + ... + 63382.

Almost surely, 252388128 is an apocalyptic number.

It is an amenable number.

52388128 is an abundant number, since it is smaller than the sum of its proper divisors (58685660).

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

52388128 is a wasteful number, since it uses less digits than its factorization.

52388128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125956 (or 125948 counting only the distinct ones).

The product of its digits is 30720, while the sum is 37.

The square root of 52388128 is about 7237.9643547064. The cubic root of 52388128 is about 374.1774635128.

It can be divided in two parts, 5238 and 8128, that added together give a triangular number (13366 = T163).

The spelling of 52388128 in words is "fifty-two million, three hundred eighty-eight thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 416 125933 251866 503732 1007464 1637129 2014928 3274258 4029856 6548516 13097032 26194064 52388128