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89161984 = 281923797
BaseRepresentation
bin1010101000010…
…00000100000000
320012202220020201
411110020010000
5140311140414
612503014544
72131602322
oct524100400
9205686221
1089161984
114636979a
1225a3a454
131561a692
14bbad612
157c63574
hex5508100

89161984 has 72 divisors (see below), whose sum is σ = 195733440. Its totient is φ = 40347648.

The previous prime is 89161973. The next prime is 89161993. The reversal of 89161984 is 48916198.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 111474 + ... + 112270.

It is an arithmetic number, because the mean of its divisors is an integer number (2718520).

Almost surely, 289161984 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 89161984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97866720).

89161984 is an abundant number, since it is smaller than the sum of its proper divisors (106571456).

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

89161984 is a wasteful number, since it uses less digits than its factorization.

89161984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 855 (or 841 counting only the distinct ones).

The product of its digits is 124416, while the sum is 46.

The square root of 89161984 is about 9442.5623641044. The cubic root of 89161984 is about 446.7452132851.

The spelling of 89161984 in words is "eighty-nine million, one hundred sixty-one thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 16 19 23 32 38 46 64 76 92 128 152 184 256 304 368 437 608 736 797 874 1216 1472 1594 1748 2432 2944 3188 3496 4864 5888 6376 6992 12752 13984 15143 18331 25504 27968 30286 36662 51008 55936 60572 73324 102016 111872 121144 146648 204032 242288 293296 348289 484576 586592 696578 969152 1173184 1393156 1938304 2346368 2786312 3876608 4692736 5572624 11145248 22290496 44580992 89161984