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9955872 = 253423167
BaseRepresentation
bin100101111110…
…101000100000
3200201210220000
4211332220200
510022041442
6553220000
7150423603
oct45765040
920653800
109955872
11568aaa3
123401600
1320a7764
14147233a
15d19d4c
hex97ea20

9955872 has 120 divisors (see below), whose sum is σ = 30735936. Its totient is φ = 3155328.

The previous prime is 9955853. The next prime is 9955901. The reversal of 9955872 is 2785599.

It is a happy number.

9955872 is a `hidden beast` number, since 99 + 558 + 7 + 2 = 666.

It is a nialpdrome in base 6.

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 19 ways as a sum of consecutive naturals, for example, 59533 + ... + 59699.

Almost surely, 29955872 is an apocalyptic number.

9955872 is a gapful number since it is divisible by the number (92) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9955872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15367968).

9955872 is an abundant number, since it is smaller than the sum of its proper divisors (20780064).

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

9955872 is a wasteful number, since it uses less digits than its factorization.

9955872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 195 counting only the distinct ones).

The product of its digits is 226800, while the sum is 45.

The square root of 9955872 is about 3155.2926964071. The cubic root of 9955872 is about 215.1260987339.

The spelling of 9955872 in words is "nine million, nine hundred fifty-five thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 69 72 81 92 96 108 138 144 162 167 184 207 216 276 288 324 334 368 414 432 501 552 621 648 668 736 828 864 1002 1104 1242 1296 1336 1503 1656 1863 2004 2208 2484 2592 2672 3006 3312 3726 3841 4008 4509 4968 5344 6012 6624 7452 7682 8016 9018 9936 11523 12024 13527 14904 15364 16032 18036 19872 23046 24048 27054 29808 30728 34569 36072 46092 48096 54108 59616 61456 69138 72144 92184 103707 108216 122912 138276 144288 184368 207414 216432 276552 311121 368736 414828 432864 553104 622242 829656 1106208 1244484 1659312 2488968 3318624 4977936 9955872