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99801528 = 23319297547
BaseRepresentation
bin1011111001011…
…01100110111000
320221210102221220
411330231212320
5201022122103
613523032040
72321204361
oct574554670
9227712856
1099801528
1151376402
122950b620
13178a4378
14d37cb68
158b65c53
hex5f2d9b8

99801528 has 64 divisors (see below), whose sum is σ = 271728000. Its totient is φ = 30425472.

The previous prime is 99801521. The next prime is 99801529. The reversal of 99801528 is 82510899.

It is a happy number.

It is a super-2 number, since 2×998015282 = 19920689982269568, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 99801528.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99801521) 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, 9451 + ... + 16997.

It is an arithmetic number, because the mean of its divisors is an integer number (4245750).

Almost surely, 299801528 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 99801528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135864000).

99801528 is an abundant number, since it is smaller than the sum of its proper divisors (171926472).

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

99801528 is a wasteful number, since it uses less digits than its factorization.

99801528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7604 (or 7600 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 42.

The square root of 99801528 is about 9990.0714712158. The cubic root of 99801528 is about 463.8516048446.

The spelling of 99801528 in words is "ninety-nine million, eight hundred one thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 19 24 29 38 57 58 76 87 114 116 152 174 228 232 348 456 551 696 1102 1653 2204 3306 4408 6612 7547 13224 15094 22641 30188 45282 60376 90564 143393 181128 218863 286786 430179 437726 573572 656589 860358 875452 1147144 1313178 1720716 1750904 2626356 3441432 4158397 5252712 8316794 12475191 16633588 24950382 33267176 49900764 99801528