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89674272 = 25321033023
BaseRepresentation
bin1010101100001…
…01001000100000
320020201220222100
411112011020200
5140424034042
612522010400
72136135012
oct526051040
9206656870
1089674272
1146689676
1226046a00
13157698cc
14bca41b2
157d1524c
hex5585220

89674272 has 72 divisors (see below), whose sum is σ = 257572224. Its totient is φ = 29591424.

The previous prime is 89674267. The next prime is 89674283. The reversal of 89674272 is 27247698.

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28153 + ... + 31175.

It is an arithmetic number, because the mean of its divisors is an integer number (3577392).

Almost surely, 289674272 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 89674272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128786112).

89674272 is an abundant number, since it is smaller than the sum of its proper divisors (167897952).

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

89674272 is a wasteful number, since it uses less digits than its factorization.

89674272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3142 (or 3131 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The square root of 89674272 is about 9469.6500463322. The cubic root of 89674272 is about 447.5991844484.

The spelling of 89674272 in words is "eighty-nine million, six hundred seventy-four thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 103 144 206 288 309 412 618 824 927 1236 1648 1854 2472 3023 3296 3708 4944 6046 7416 9069 9888 12092 14832 18138 24184 27207 29664 36276 48368 54414 72552 96736 108828 145104 217656 290208 311369 435312 622738 870624 934107 1245476 1868214 2490952 2802321 3736428 4981904 5604642 7472856 9963808 11209284 14945712 22418568 29891424 44837136 89674272