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89672704 = 2101119419
BaseRepresentation
bin1010101100001…
…00110000000000
320020201211211021
411112010300000
5140424011304
612521555224
72136130312
oct526046000
9206654737
1089672704
1146688480
1226045b14
1315768c94
14bca37b2
157d14a54
hex5584c00

89672704 has 88 divisors (see below), whose sum is σ = 206337600. Its totient is φ = 38522880.

The previous prime is 89672701. The next prime is 89672711. The reversal of 89672704 is 40727698.

It is a tau number, because it is divible by the number of its divisors (88).

It is not an unprimeable number, because it can be changed into a prime (89672701) 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, 213807 + ... + 214225.

Almost surely, 289672704 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 89672704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103168800).

89672704 is an abundant number, since it is smaller than the sum of its proper divisors (116664896).

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

89672704 is a wasteful number, since it uses less digits than its factorization.

89672704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 43.

The square root of 89672704 is about 9469.5672551601. The cubic root of 89672704 is about 447.5965756005.

The spelling of 89672704 in words is "eighty-nine million, six hundred seventy-two thousand, seven hundred four".

Divisors: 1 2 4 8 11 16 19 22 32 38 44 64 76 88 128 152 176 209 256 304 352 418 419 512 608 704 836 838 1024 1216 1408 1672 1676 2432 2816 3344 3352 4609 4864 5632 6688 6704 7961 9218 9728 11264 13376 13408 15922 18436 19456 26752 26816 31844 36872 53504 53632 63688 73744 87571 107008 107264 127376 147488 175142 214016 214528 254752 294976 350284 429056 509504 589952 700568 1019008 1179904 1401136 2038016 2359808 2802272 4076032 4719616 5604544 8152064 11209088 22418176 44836352 89672704