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89956496 = 2472347743
BaseRepresentation
bin1010101110010…
…10000010010000
320021021021010002
411113022002100
5141012101441
612532025132
72141421560
oct527120220
9207237102
1089956496
1146861713
12261621a8
13158381c6
14bd38da0
157d6db9b
hex55ca090

89956496 has 80 divisors (see below), whose sum is σ = 212557824. Its totient is φ = 36043392.

The previous prime is 89956487. The next prime is 89956499. The reversal of 89956496 is 69465998.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is not an unprimeable number, because it can be changed into a prime (89956499) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 120701 + ... + 121443.

Almost surely, 289956496 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 89956496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106278912).

89956496 is an abundant number, since it is smaller than the sum of its proper divisors (122601328).

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

89956496 is a wasteful number, since it uses less digits than its factorization.

89956496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 828 (or 822 counting only the distinct ones).

The product of its digits is 4199040, while the sum is 56.

The square root of 89956496 is about 9484.5398412364. The cubic root of 89956496 is about 448.0682559692.

The spelling of 89956496 in words is "eighty-nine million, nine hundred fifty-six thousand, four hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 23 28 46 47 56 92 94 112 161 184 188 322 329 368 376 644 658 743 752 1081 1288 1316 1486 2162 2576 2632 2972 4324 5201 5264 5944 7567 8648 10402 11888 15134 17089 17296 20804 30268 34178 34921 41608 60536 68356 69842 83216 119623 121072 136712 139684 239246 244447 273424 279368 478492 488894 558736 803183 956984 977788 1606366 1913968 1955576 3212732 3911152 5622281 6425464 11244562 12850928 22489124 44978248 89956496