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88876920 = 23351126121
BaseRepresentation
bin1010100110000…
…10011101111000
320012020102012210
411103002131320
5140223030140
612452535120
72126304246
oct523023570
9205212183
1088876920
1146194600
12259214a0
131554a9c2
14bb37796
157c08d80
hex54c2778

88876920 has 96 divisors (see below), whose sum is σ = 293121360. Its totient is φ = 21542400.

The previous prime is 88876883. The next prime is 88876943. The reversal of 88876920 is 2967888.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 88876920.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 11460 + ... + 17580.

Almost surely, 288876920 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 88876920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146560680).

88876920 is an abundant number, since it is smaller than the sum of its proper divisors (204244440).

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

88876920 is a wasteful number, since it uses less digits than its factorization.

88876920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6157 (or 6142 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 48.

The square root of 88876920 is about 9427.4556482648. The cubic root of 88876920 is about 446.2686015675.

The spelling of 88876920 in words is "eighty-eight million, eight hundred seventy-six thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 121 132 165 220 242 264 330 363 440 484 605 660 726 968 1210 1320 1452 1815 2420 2904 3630 4840 6121 7260 12242 14520 18363 24484 30605 36726 48968 61210 67331 73452 91815 122420 134662 146904 183630 201993 244840 269324 336655 367260 403986 538648 673310 734520 740641 807972 1009965 1346620 1481282 1615944 2019930 2221923 2693240 2962564 3703205 4039860 4443846 5925128 7406410 8079720 8887692 11109615 14812820 17775384 22219230 29625640 44438460 88876920