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38988516 = 22372611087
BaseRepresentation
bin1001010010111…
…0101011100100
32201100211012010
42110232223210
534440113031
63511354220
7652253100
oct224565344
981324163
1038988516
112000a716
1211082970
138101338
14526c900
153652246
hex252eae4

38988516 has 72 divisors (see below), whose sum is σ = 107659776. Its totient is φ = 10946880.

The previous prime is 38988511. The next prime is 38988517. The reversal of 38988516 is 61588983.

38988516 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (38988511) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 35325 + ... + 36411.

Almost surely, 238988516 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 38988516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53829888).

38988516 is an abundant number, since it is smaller than the sum of its proper divisors (68671260).

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

38988516 is a wasteful number, since it uses less digits than its factorization.

38988516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1169 (or 1160 counting only the distinct ones).

The product of its digits is 414720, while the sum is 48.

The square root of 38988516 is about 6244.0784748432. The cubic root of 38988516 is about 339.0878549891.

The spelling of 38988516 in words is "thirty-eight million, nine hundred eighty-eight thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 61 84 98 122 147 183 196 244 294 366 427 588 732 854 1087 1281 1708 2174 2562 2989 3261 4348 5124 5978 6522 7609 8967 11956 13044 15218 17934 22827 30436 35868 45654 53263 66307 91308 106526 132614 159789 198921 213052 265228 319578 397842 464149 639156 795684 928298 1392447 1856596 2784894 3249043 5569788 6498086 9747129 12996172 19494258 38988516