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38525616 = 24321914081
BaseRepresentation
bin1001001011110…
…1101010110000
32200111022012200
42102331222300
534330304431
63453423200
7645314403
oct222755260
980438180
1038525616
111a823958
1210a9ab00
137c9b72c
14518bd3a
1535aeee6
hex24bdab0

38525616 has 60 divisors (see below), whose sum is σ = 113500920. Its totient is φ = 12165120.

The previous prime is 38525593. The next prime is 38525623. The reversal of 38525616 is 61652583.

38525616 is a `hidden beast` number, since 38 + 5 + 2 + 5 + 616 = 666.

38525616 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an alternating number because its digits alternate between odd and even.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4305 + ... + 9776.

It is an arithmetic number, because the mean of its divisors is an integer number (1891682).

Almost surely, 238525616 is an apocalyptic number.

38525616 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

38525616 is an abundant number, since it is smaller than the sum of its proper divisors (74975304).

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

38525616 is a wasteful number, since it uses less digits than its factorization.

38525616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14114 (or 14105 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 38525616 is about 6206.9006758607. The cubic root of 38525616 is about 337.7405429229.

The spelling of 38525616 in words is "thirty-eight million, five hundred twenty-five thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 114 144 152 171 228 304 342 456 684 912 1368 2736 14081 28162 42243 56324 84486 112648 126729 168972 225296 253458 267539 337944 506916 535078 675888 802617 1013832 1070156 1605234 2027664 2140312 2407851 3210468 4280624 4815702 6420936 9631404 12841872 19262808 38525616