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99031872 = 263796529
BaseRepresentation
bin1011110011100…
…01101101000000
320220100100012010
411321301231000
5200323004442
613454332520
72311520442
oct571615500
9226310163
1099031872
11509a0125
12291ba140
1317694c54
14d21c492
158a62b9c
hex5e71b40

99031872 has 56 divisors (see below), whose sum is σ = 265379200. Its totient is φ = 32587776.

The previous prime is 99031871. The next prime is 99031879. The reversal of 99031872 is 27813099.

It is a self number, because there is not a number n which added to its sum of digits gives 99031872.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99031871) 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 7 ways as a sum of consecutive naturals, for example, 11904 + ... + 18432.

Almost surely, 299031872 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 99031872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132689600).

99031872 is an abundant number, since it is smaller than the sum of its proper divisors (166347328).

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

99031872 is a wasteful number, since it uses less digits than its factorization.

99031872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6623 (or 6613 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 39.

The square root of 99031872 is about 9951.4758704425. The cubic root of 99031872 is about 462.6561393440.

The spelling of 99031872 in words is "ninety-nine million, thirty-one thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 79 96 158 192 237 316 474 632 948 1264 1896 2528 3792 5056 6529 7584 13058 15168 19587 26116 39174 52232 78348 104464 156696 208928 313392 417856 515791 626784 1031582 1253568 1547373 2063164 3094746 4126328 6189492 8252656 12378984 16505312 24757968 33010624 49515936 99031872