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64838112 = 2533121787
BaseRepresentation
bin1111011101010…
…1100111100000
311112000010011120
43313111213200
5113044304422
610233412240
71415054253
oct367254740
9145003146
1064838112
1133665919
121986a080
1310582161
14887b09a
155a5b45c
hex3dd59e0

64838112 has 48 divisors (see below), whose sum is σ = 175698432. Its totient is φ = 20914560.

The previous prime is 64838099. The next prime is 64838141. The reversal of 64838112 is 21183846.

It is a tau number, because it is divible by the number of its divisors (48).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7918 + ... + 13869.

It is an arithmetic number, because the mean of its divisors is an integer number (3660384).

Almost surely, 264838112 is an apocalyptic number.

64838112 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

It is an amenable number.

64838112 is an abundant number, since it is smaller than the sum of its proper divisors (110860320).

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

64838112 is a wasteful number, since it uses less digits than its factorization.

64838112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21831 (or 21823 counting only the distinct ones).

The product of its digits is 9216, while the sum is 33.

The square root of 64838112 is about 8052.2116216602. The cubic root of 64838112 is about 401.7384997664.

The spelling of 64838112 in words is "sixty-four million, eight hundred thirty-eight thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 372 496 744 992 1488 2976 21787 43574 65361 87148 130722 174296 261444 348592 522888 675397 697184 1045776 1350794 2026191 2091552 2701588 4052382 5403176 8104764 10806352 16209528 21612704 32419056 64838112