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89605572 = 223717131479
BaseRepresentation
bin1010101011101…
…00010111000100
320020121102201220
411111310113010
5140414334242
612520320340
72135430510
oct525642704
9206542656
1089605572
1146641aa1
12260130b0
1315744564
14bc87140
157ceebec
hex55745c4

89605572 has 96 divisors (see below), whose sum is σ = 255467520. Its totient is φ = 23861760.

The previous prime is 89605567. The next prime is 89605573. The reversal of 89605572 is 27550698.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (89605573) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 186829 + ... + 187307.

It is an arithmetic number, because the mean of its divisors is an integer number (2661120).

Almost surely, 289605572 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 89605572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127733760).

89605572 is an abundant number, since it is smaller than the sum of its proper divisors (165861948).

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

89605572 is a wasteful number, since it uses less digits than its factorization.

89605572 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 641 (or 639 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 42.

The square root of 89605572 is about 9466.0219733529. The cubic root of 89605572 is about 447.4848524361.

The spelling of 89605572 in words is "eighty-nine million, six hundred five thousand, five hundred seventy-two".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 51 68 84 102 119 131 204 238 262 357 393 476 479 524 714 786 917 958 1428 1437 1572 1834 1916 2227 2751 2874 3353 3668 4454 5502 5748 6681 6706 8143 8908 10059 11004 13362 13412 15589 16286 20118 24429 26724 31178 32572 40236 46767 48858 57001 62356 62749 93534 97716 114002 125498 171003 187068 188247 228004 250996 342006 376494 439243 684012 752988 878486 1066733 1317729 1756972 2133466 2635458 3200199 4266932 5270916 6400398 7467131 12800796 14934262 22401393 29868524 44802786 89605572