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89096592 = 243131737227
BaseRepresentation
bin1010100111110…
…00000110010000
320012122120112210
411103320012100
5140302042332
612501352120
72131210554
oct523700620
9205576483
1089096592
1146324652
1225a08640
13155c69a0
14bb93864
157c4decc
hex54f8190

89096592 has 160 divisors (see below), whose sum is σ = 270732672. Its totient is φ = 24993792.

The previous prime is 89096591. The next prime is 89096593. The reversal of 89096592 is 29569098.

It is an interprime number because it is at equal distance from previous prime (89096591) and next prime (89096593).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89096591) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 392383 + ... + 392609.

Almost surely, 289096592 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 89096592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135366336).

89096592 is an abundant number, since it is smaller than the sum of its proper divisors (181636080).

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

89096592 is a wasteful number, since it uses less digits than its factorization.

89096592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 48.

The square root of 89096592 is about 9439.0991095549. The cubic root of 89096592 is about 446.6359712576.

The spelling of 89096592 in words is "eighty-nine million, ninety-six thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 13 16 17 24 26 34 37 39 48 51 52 68 74 78 102 104 111 136 148 156 204 208 221 222 227 272 296 312 408 442 444 454 481 592 624 629 663 681 816 884 888 908 962 1258 1326 1362 1443 1768 1776 1816 1887 1924 2516 2652 2724 2886 2951 3536 3632 3774 3848 3859 5032 5304 5448 5772 5902 7548 7696 7718 8177 8399 8853 10064 10608 10896 11544 11577 11804 15096 15436 16354 16798 17706 23088 23154 23608 24531 25197 30192 30872 32708 33596 35412 46308 47216 49062 50167 50394 61744 65416 67192 70824 92616 98124 100334 100788 109187 130832 134384 141648 142783 150501 185232 196248 200668 201576 218374 285566 301002 327561 392496 401336 403152 428349 436748 571132 602004 655122 802672 856698 873496 1142264 1204008 1310244 1713396 1746992 1856179 2284528 2408016 2620488 3426792 3712358 5240976 5568537 6853584 7424716 11137074 14849432 22274148 29698864 44548296 89096592