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89162112 = 2731353337
BaseRepresentation
bin1010101000010…
…00000110000000
320012202220102110
411110020012000
5140311141422
612503015320
72131602564
oct524100600
9205686373
1089162112
11463698a6
1225a3a540
131561a760
14bbad6a4
157c6360c
hex5508180

89162112 has 128 divisors (see below), whose sum is σ = 260638560. Its totient is φ = 26836992.

The previous prime is 89162089. The next prime is 89162113. The reversal of 89162112 is 21126198.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 89162112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89162113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 264408 + ... + 264744.

Almost surely, 289162112 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 89162112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130319280).

89162112 is an abundant number, since it is smaller than the sum of its proper divisors (171476448).

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

89162112 is a wasteful number, since it uses less digits than its factorization.

89162112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 408 counting only the distinct ones).

The product of its digits is 1728, while the sum is 30.

The square root of 89162112 is about 9442.5691419232. The cubic root of 89162112 is about 446.7454270659.

The spelling of 89162112 in words is "eighty-nine million, one hundred sixty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 53 64 78 96 104 106 128 156 159 192 208 212 312 318 337 384 416 424 624 636 674 689 832 848 1011 1248 1272 1348 1378 1664 1696 2022 2067 2496 2544 2696 2756 3392 4044 4134 4381 4992 5088 5392 5512 6784 8088 8268 8762 10176 10784 11024 13143 16176 16536 17524 17861 20352 21568 22048 26286 32352 33072 35048 35722 43136 44096 52572 53583 64704 66144 70096 71444 88192 105144 107166 129408 132288 140192 142888 210288 214332 232193 264576 280384 285776 420576 428664 464386 560768 571552 696579 841152 857328 928772 1143104 1393158 1682304 1714656 1857544 2286208 2786316 3429312 3715088 5572632 6858624 7430176 11145264 14860352 22290528 29720704 44581056 89162112