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99078528 = 273673851
BaseRepresentation
bin1011110011111…
…01000110000000
320220102201012010
411321331012000
5200331003103
613455332520
72312103453
oct571750600
9226381163
1099078528
1150a2218a
1229221140
13176b0263
14d23149a
158a71903
hex5e7d180

99078528 has 64 divisors (see below), whose sum is σ = 267174720. Its totient is φ = 32524800.

The previous prime is 99078527. The next prime is 99078541. The reversal of 99078528 is 82587099.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99078527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23803 + ... + 27653.

It is an arithmetic number, because the mean of its divisors is an integer number (4174605).

Almost surely, 299078528 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 99078528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133587360).

99078528 is an abundant number, since it is smaller than the sum of its proper divisors (168096192).

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

99078528 is a wasteful number, since it uses less digits than its factorization.

99078528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3935 (or 3923 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 48.

The square root of 99078528 is about 9953.8197693147. The cubic root of 99078528 is about 462.7287836199.

The spelling of 99078528 in words is "ninety-nine million, seventy-eight thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 67 96 128 134 192 201 268 384 402 536 804 1072 1608 2144 3216 3851 4288 6432 7702 8576 11553 12864 15404 23106 25728 30808 46212 61616 92424 123232 184848 246464 258017 369696 492928 516034 739392 774051 1032068 1478784 1548102 2064136 3096204 4128272 6192408 8256544 12384816 16513088 24769632 33026176 49539264 99078528