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89721216 = 2733131997
BaseRepresentation
bin1010101100100…
…00100110000000
320020211022101000
411112100212000
5140432034331
612523012000
72136421614
oct526204600
9206738330
1089721216
1146710972
122606a000
13157850a0
14bcb7344
157d240e6
hex5590980

89721216 has 128 divisors (see below), whose sum is σ = 285314400. Its totient is φ = 27592704.

The previous prime is 89721199. The next prime is 89721239. The reversal of 89721216 is 61212798.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43930 + ... + 45926.

Almost surely, 289721216 is an apocalyptic number.

89721216 is the 5991-st heptagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89721216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142657200).

89721216 is an abundant number, since it is smaller than the sum of its proper divisors (195593184).

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

89721216 is a wasteful number, since it uses less digits than its factorization.

89721216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2033 (or 2015 counting only the distinct ones).

The product of its digits is 12096, while the sum is 36.

The square root of 89721216 is about 9472.1283775084. The cubic root of 89721216 is about 447.6772760799.

The spelling of 89721216 in words is "eighty-nine million, seven hundred twenty-one thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 96 104 108 117 128 144 156 192 208 216 234 288 312 351 384 416 432 468 576 624 702 832 864 936 1152 1248 1404 1664 1728 1872 1997 2496 2808 3456 3744 3994 4992 5616 5991 7488 7988 11232 11982 14976 15976 17973 22464 23964 25961 31952 35946 44928 47928 51922 53919 63904 71892 77883 95856 103844 107838 127808 143784 155766 191712 207688 215676 233649 255616 287568 311532 383424 415376 431352 467298 575136 623064 700947 766848 830752 862704 934596 1150272 1246128 1401894 1661504 1725408 1869192 2300544 2492256 2803788 3323008 3450816 3738384 4984512 5607576 6901632 7476768 9969024 11215152 14953536 22430304 29907072 44860608 89721216