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14915152 = 2471943163
BaseRepresentation
bin111000111001…
…011001010000
31001001202202001
4320321121100
512304241102
61251403344
7240530260
oct70713120
931052661
1014915152
118467a7a
124bb3554
133122b45
141da37a0
151499487
hexe39650

14915152 has 80 divisors (see below), whose sum is σ = 35791360. Its totient is φ = 5878656.

The previous prime is 14915149. The next prime is 14915161. The reversal of 14915152 is 25151941.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 14915152.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91423 + ... + 91585.

It is an arithmetic number, because the mean of its divisors is an integer number (447392).

Almost surely, 214915152 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 14915152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17895680).

14915152 is an abundant number, since it is smaller than the sum of its proper divisors (20876208).

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

14915152 is a wasteful number, since it uses less digits than its factorization.

14915152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 234 counting only the distinct ones).

The product of its digits is 1800, while the sum is 28.

The square root of 14915152 is about 3862.0139823672. The cubic root of 14915152 is about 246.1553208646.

The spelling of 14915152 in words is "fourteen million, nine hundred fifteen thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 19 28 38 43 56 76 86 112 133 152 163 172 266 301 304 326 344 532 602 652 688 817 1064 1141 1204 1304 1634 2128 2282 2408 2608 3097 3268 4564 4816 5719 6194 6536 7009 9128 11438 12388 13072 14018 18256 21679 22876 24776 28036 43358 45752 49063 49552 56072 86716 91504 98126 112144 133171 173432 196252 266342 346864 392504 532684 785008 932197 1065368 1864394 2130736 3728788 7457576 14915152