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13856472 = 23327191447
BaseRepresentation
bin110100110110…
…111011011000
3222001222111200
4310312323120
512021401342
61212554200
7225530610
oct64667330
928058450
1013856472
117904633
124782960
132b41cc6
141ba9a40
15133a94c
hexd36ed8

13856472 has 96 divisors (see below), whose sum is σ = 45177600. Its totient is φ = 3748032.

The previous prime is 13856441. The next prime is 13856509. The reversal of 13856472 is 27465831.

13856472 is a `hidden beast` number, since 1 + 3 + 8 + 5 + 647 + 2 = 666.

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8853 + ... + 10299.

It is an arithmetic number, because the mean of its divisors is an integer number (470600).

Almost surely, 213856472 is an apocalyptic number.

13856472 is a gapful number since it is divisible by the number (12) 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 13856472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22588800).

13856472 is an abundant number, since it is smaller than the sum of its proper divisors (31321128).

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

13856472 is a wasteful number, since it uses less digits than its factorization.

13856472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1485 (or 1478 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 13856472 is about 3722.4282397381. The cubic root of 13856472 is about 240.1877697222.

The spelling of 13856472 in words is "thirteen million, eight hundred fifty-six thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 19 21 24 28 36 38 42 56 57 63 72 76 84 114 126 133 152 168 171 228 252 266 342 399 456 504 532 684 798 1064 1197 1368 1447 1596 2394 2894 3192 4341 4788 5788 8682 9576 10129 11576 13023 17364 20258 26046 27493 30387 34728 40516 52092 54986 60774 81032 82479 91161 104184 109972 121548 164958 182322 192451 219944 243096 247437 329916 364644 384902 494874 577353 659832 729288 769804 989748 1154706 1539608 1732059 1979496 2309412 3464118 4618824 6928236 13856472