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23978272 = 2547107149
BaseRepresentation
bin101101101111…
…0000100100000
31200010020000011
41123132010200
522114301042
62213534304
7410545333
oct133360440
950106004
1023978272
111259825a
128044394
134c77136
14328261a
152189a17
hex16de120

23978272 has 48 divisors (see below), whose sum is σ = 48988800. Its totient is φ = 11546368.

The previous prime is 23978267. The next prime is 23978287. The reversal of 23978272 is 27287932.

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 7 ways as a sum of consecutive naturals, for example, 160854 + ... + 161002.

It is an arithmetic number, because the mean of its divisors is an integer number (1020600).

Almost surely, 223978272 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 23978272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24494400).

23978272 is an abundant number, since it is smaller than the sum of its proper divisors (25010528).

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

23978272 is a wasteful number, since it uses less digits than its factorization.

23978272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 305 counting only the distinct ones).

The product of its digits is 84672, while the sum is 40.

The square root of 23978272 is about 4896.7613787074. The cubic root of 23978272 is about 288.3628400051.

The spelling of 23978272 in words is "twenty-three million, nine hundred seventy-eight thousand, two hundred seventy-two".

Divisors: 1 2 4 8 16 32 47 94 107 149 188 214 298 376 428 596 752 856 1192 1504 1712 2384 3424 4768 5029 7003 10058 14006 15943 20116 28012 31886 40232 56024 63772 80464 112048 127544 160928 224096 255088 510176 749321 1498642 2997284 5994568 11989136 23978272