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11876472 = 23321731313
BaseRepresentation
bin101101010011…
…100001111000
3211100101110100
4231103201320
511020021342
61102315400
7202643166
oct55234170
924311410
1011876472
116781a73
123b88b60
1325ca9ca
141812236
151098e4c
hexb53878

11876472 has 96 divisors (see below), whose sum is σ = 35268480. Its totient is φ = 3594240.

The previous prime is 11876467. The next prime is 11876479. The reversal of 11876472 is 27467811.

11876472 is a `hidden beast` number, since 1 + 1 + 8 + 7 + 647 + 2 = 666.

11876472 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11876479) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37788 + ... + 38100.

It is an arithmetic number, because the mean of its divisors is an integer number (367380).

Almost surely, 211876472 is an apocalyptic number.

11876472 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 11876472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17634240).

11876472 is an abundant number, since it is smaller than the sum of its proper divisors (23392008).

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

11876472 is a wasteful number, since it uses less digits than its factorization.

11876472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373 (or 366 counting only the distinct ones).

The product of its digits is 18816, while the sum is 36.

The square root of 11876472 is about 3446.2257616123. The cubic root of 11876472 is about 228.1545581766.

The spelling of 11876472 in words is "eleven million, eight hundred seventy-six thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 31 34 36 51 62 68 72 93 102 124 136 153 186 204 248 279 306 313 372 408 527 558 612 626 744 939 1054 1116 1224 1252 1581 1878 2108 2232 2504 2817 3162 3756 4216 4743 5321 5634 6324 7512 9486 9703 10642 11268 12648 15963 18972 19406 21284 22536 29109 31926 37944 38812 42568 47889 58218 63852 77624 87327 95778 116436 127704 164951 174654 191556 232872 329902 349308 383112 494853 659804 698616 989706 1319608 1484559 1979412 2969118 3958824 5938236 11876472