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15082272 = 253252369
BaseRepresentation
bin111001100010…
…001100100000
31001101020222200
4321202030200
512330113042
61255133200
7242124432
oct71421440
931336880
1015082272
118571597
125074200
133180c2a
142008652
1514cdc4c
hexe62320

15082272 has 36 divisors (see below), whose sum is σ = 42891030. Its totient is φ = 5027328.

The previous prime is 15082267. The next prime is 15082279. The reversal of 15082272 is 27228051.

It can be written as a sum of positive squares in only one way, i.e., 11532816 + 3549456 = 3396^2 + 1884^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (15082279) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 25897 + ... + 26472.

Almost surely, 215082272 is an apocalyptic number.

15082272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

15082272 is an abundant number, since it is smaller than the sum of its proper divisors (27808758).

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

15082272 is a wasteful number, since it uses less digits than its factorization.

15082272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52385 (or 52374 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 15082272 is about 3883.5900916549. The cubic root of 15082272 is about 247.0712749227.

The spelling of 15082272 in words is "fifteen million, eighty-two thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 52369 104738 157107 209476 314214 418952 471321 628428 837904 942642 1256856 1675808 1885284 2513712 3770568 5027424 7541136 15082272