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99610464 = 2531997563
BaseRepresentation
bin1011110111111…
…10111101100000
320221102201212110
411323332331200
5201000013324
613514555320
72316450342
oct573767540
9227381773
1099610464
11512558a8
1229438b40
1317838405
14d32d292
158b29329
hex5efef60

99610464 has 96 divisors (see below), whose sum is σ = 278570880. Its totient is φ = 31076352.

The previous prime is 99610453. The next prime is 99610477. The reversal of 99610464 is 46401699.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 176647 + ... + 177209.

It is an arithmetic number, because the mean of its divisors is an integer number (2901780).

Almost surely, 299610464 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 99610464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139285440).

99610464 is an abundant number, since it is smaller than the sum of its proper divisors (178960416).

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

99610464 is a wasteful number, since it uses less digits than its factorization.

99610464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 692 (or 684 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 99610464 is about 9980.5041956807. The cubic root of 99610464 is about 463.5554104509. Note that the first 3 decimals are identical.

The spelling of 99610464 in words is "ninety-nine million, six hundred ten thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 97 114 152 194 228 291 304 388 456 563 582 608 776 912 1126 1164 1552 1689 1824 1843 2252 2328 3104 3378 3686 4504 4656 5529 6756 7372 9008 9312 10697 11058 13512 14744 18016 21394 22116 27024 29488 32091 42788 44232 54048 54611 58976 64182 85576 88464 109222 128364 163833 171152 176928 218444 256728 327666 342304 436888 513456 655332 873776 1026912 1037609 1310664 1747552 2075218 2621328 3112827 4150436 5242656 6225654 8300872 12451308 16601744 24902616 33203488 49805232 99610464