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89742276 = 223313411559
BaseRepresentation
bin1010101100101…
…01101111000100
320020212101021000
411112111233010
5140433223101
612523253300
72136540201
oct526255704
9206771230
1089742276
1146725778
122607a230
1315791850
14bcc0ca8
157d2a486
hex5595bc4

89742276 has 96 divisors (see below), whose sum is σ = 256838400. Its totient is φ = 26922240.

The previous prime is 89742259. The next prime is 89742277. The reversal of 89742276 is 67224798.

It is a super-2 number, since 2×897422762 = 16107352203320352, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89742277) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56785 + ... + 58343.

It is an arithmetic number, because the mean of its divisors is an integer number (2675400).

Almost surely, 289742276 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 89742276, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128419200).

89742276 is an abundant number, since it is smaller than the sum of its proper divisors (167096124).

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

89742276 is a wasteful number, since it uses less digits than its factorization.

89742276 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1626 (or 1618 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The square root of 89742276 is about 9473.2399948486. The cubic root of 89742276 is about 447.7123006678.

The spelling of 89742276 in words is "eighty-nine million, seven hundred forty-two thousand, two hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 41 52 54 78 82 108 117 123 156 164 234 246 351 369 468 492 533 702 738 1066 1107 1404 1476 1559 1599 2132 2214 3118 3198 4428 4677 4797 6236 6396 9354 9594 14031 14391 18708 19188 20267 28062 28782 40534 42093 56124 57564 60801 63919 81068 84186 121602 127838 168372 182403 191757 243204 255676 364806 383514 547209 575271 729612 767028 830947 1094418 1150542 1661894 1725813 2188836 2301084 2492841 3323788 3451626 4985682 6903252 7478523 9971364 14957046 22435569 29914092 44871138 89742276