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89530938 = 23272831223
BaseRepresentation
bin1010101011000…
…10001000111010
320020110122100200
411111202020322
5140404442223
612514543030
72135000100
oct525421072
9206418320
1089530938
11465a0a12
1225b97a76
13157195b3
14bc67c70
157cd7a43
hex556223a

89530938 has 72 divisors (see below), whose sum is σ = 228559968. Its totient is φ = 25251408.

The previous prime is 89530933. The next prime is 89530943. The reversal of 89530938 is 83903598.

89530938 is a `hidden beast` number, since 89 + 530 + 9 + 38 = 666.

It is an interprime number because it is at equal distance from previous prime (89530933) and next prime (89530943).

It is a junction number, because it is equal to n+sod(n) for n = 89530893 and 89530902.

It is not an unprimeable number, because it can be changed into a prime (89530933) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 72595 + ... + 73817.

It is an arithmetic number, because the mean of its divisors is an integer number (3174444).

Almost surely, 289530938 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89530938, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114279984).

89530938 is an abundant number, since it is smaller than the sum of its proper divisors (139029030).

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

89530938 is a wasteful number, since it uses less digits than its factorization.

89530938 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1328 (or 1318 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 89530938 is about 9462.0789470391. The cubic root of 89530938 is about 447.3605786865.

The spelling of 89530938 in words is "eighty-nine million, five hundred thirty thousand, nine hundred thirty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 83 98 126 147 166 249 294 441 498 581 747 882 1162 1223 1494 1743 2446 3486 3669 4067 5229 7338 8134 8561 10458 11007 12201 17122 22014 24402 25683 36603 51366 59927 73206 77049 101509 119854 154098 179781 203018 304527 359562 539343 609054 710563 913581 1078686 1421126 1827162 2131689 4263378 4973941 6395067 9947882 12790134 14921823 29843646 44765469 89530938