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99162816 = 2634312011
BaseRepresentation
bin1011110100100…
…01101011000000
320220120222210220
411322101223000
5200341202231
613501223040
72312604264
oct572215300
9226528726
1099162816
1150a7a545
1229261a80
131770c72c
14d2540a4
158a8b896
hex5e91ac0

99162816 has 56 divisors (see below), whose sum is σ = 268492224. Its totient is φ = 32282880.

The previous prime is 99162799. The next prime is 99162823. The reversal of 99162816 is 61826199.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2251 + ... + 14261.

It is an arithmetic number, because the mean of its divisors is an integer number (4794504).

Almost surely, 299162816 is an apocalyptic number.

99162816 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99162816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134246112).

99162816 is an abundant number, since it is smaller than the sum of its proper divisors (169329408).

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

99162816 is a wasteful number, since it uses less digits than its factorization.

99162816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12069 (or 12059 counting only the distinct ones).

The product of its digits is 46656, while the sum is 42.

The square root of 99162816 is about 9958.0528217117. The cubic root of 99162816 is about 462.8599638385.

Subtracting from 99162816 its product of digits (46656), we obtain a triangular number (99116160 = T14079).

It can be divided in two parts, 9916281 and 6, that multiplied together give a triangular number (59497686 = T10908).

The spelling of 99162816 in words is "ninety-nine million, one hundred sixty-two thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 64 86 96 129 172 192 258 344 516 688 1032 1376 2064 2752 4128 8256 12011 24022 36033 48044 72066 96088 144132 192176 288264 384352 516473 576528 768704 1032946 1153056 1549419 2065892 2306112 3098838 4131784 6197676 8263568 12395352 16527136 24790704 33054272 49581408 99162816