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13858272 = 253248119
BaseRepresentation
bin110100110111…
…010111100000
3222002001222100
4310313113200
512021431042
61213010400
7225536061
oct64672740
928061870
1013858272
117905a1a
124783a00
132b42a7c
141baa568
15133b24c
hexd375e0

13858272 has 36 divisors (see below), whose sum is σ = 39410280. Its totient is φ = 4619328.

The previous prime is 13858267. The next prime is 13858297. The reversal of 13858272 is 27285831.

13858272 is a `hidden beast` number, since 1 + 3 + 8 + 582 + 72 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 23772 + ... + 24347.

It is an arithmetic number, because the mean of its divisors is an integer number (1094730).

Almost surely, 213858272 is an apocalyptic number.

13858272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13858272 is an abundant number, since it is smaller than the sum of its proper divisors (25552008).

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

13858272 is a wasteful number, since it uses less digits than its factorization.

13858272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48135 (or 48124 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 13858272 is about 3722.6700095496. The cubic root of 13858272 is about 240.1981696582.

The spelling of 13858272 in words is "thirteen million, eight hundred fifty-eight thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 48119 96238 144357 192476 288714 384952 433071 577428 769904 866142 1154856 1539808 1732284 2309712 3464568 4619424 6929136 13858272