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99890592 = 2531795813
BaseRepresentation
bin1011111010000…
…11010110100000
320221221222010120
411331003112200
5201032444332
613525000240
72322025134
oct575032640
9227858116
1099890592
115142730a
1229553080
1317905a79
14d3a33c4
158b8232c
hex5f435a0

99890592 has 48 divisors (see below), whose sum is σ = 263723040. Its totient is φ = 33105152.

The previous prime is 99890579. The next prime is 99890627. The reversal of 99890592 is 29509899.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×998905922 = 19956260740220928, which contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 14278 + ... + 20090.

It is an arithmetic number, because the mean of its divisors is an integer number (5494230).

Almost surely, 299890592 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 99890592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131861520).

99890592 is an abundant number, since it is smaller than the sum of its proper divisors (163832448).

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

99890592 is a wasteful number, since it uses less digits than its factorization.

99890592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6005 (or 5997 counting only the distinct ones).

The product of its (nonzero) digits is 524880, while the sum is 51.

The square root of 99890592 is about 9994.5281029171. The cubic root of 99890592 is about 463.9895459397.

The spelling of 99890592 in words is "ninety-nine million, eight hundred ninety thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 179 358 537 716 1074 1432 2148 2864 4296 5728 5813 8592 11626 17184 17439 23252 34878 46504 69756 93008 139512 186016 279024 558048 1040527 2081054 3121581 4162108 6243162 8324216 12486324 16648432 24972648 33296864 49945296 99890592