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89980576 = 2573491151
BaseRepresentation
bin1010101110011…
…11111010100000
320021022111010221
411113033322200
5141013334301
612532332424
72141552020
oct527177240
9207274127
1089980576
1146878814
1226174114
131584615a
14bd43a80
157d75da1
hex55cfea0

89980576 has 48 divisors (see below), whose sum is σ = 203212800. Its totient is φ = 38419200.

The previous prime is 89980573. The next prime is 89980589. The reversal of 89980576 is 67508998.

It is not an unprimeable number, because it can be changed into a prime (89980573) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 77601 + ... + 78751.

It is an arithmetic number, because the mean of its divisors is an integer number (4233600).

Almost surely, 289980576 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 89980576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101606400).

89980576 is an abundant number, since it is smaller than the sum of its proper divisors (113232224).

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

89980576 is a wasteful number, since it uses less digits than its factorization.

89980576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1517 (or 1509 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 52.

The square root of 89980576 is about 9485.8091905752. The cubic root of 89980576 is about 448.1082327784.

The spelling of 89980576 in words is "eighty-nine million, nine hundred eighty thousand, five hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 349 698 1151 1396 2302 2443 2792 4604 4886 5584 8057 9208 9772 11168 16114 18416 19544 32228 36832 39088 64456 78176 128912 257824 401699 803398 1606796 2811893 3213592 5623786 6427184 11247572 12854368 22495144 44990288 89980576