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31478016 = 283172411
BaseRepresentation
bin111100000010…
…1000100000000
32012020020201110
41320011010000
531024244031
63042403320
7531362433
oct170050400
965206643
1031478016
111684a999
12a660540
1366a195b
14427581a
152b6bc46
hex1e05100

31478016 has 72 divisors (see below), whose sum is σ = 88742304. Its totient is φ = 9871360.

The previous prime is 31477993. The next prime is 31478017. The reversal of 31478016 is 61087413.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (31478017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11851 + ... + 14261.

It is an arithmetic number, because the mean of its divisors is an integer number (1232532).

Almost surely, 231478016 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 31478016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44371152).

31478016 is an abundant number, since it is smaller than the sum of its proper divisors (57264288).

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

31478016 is a wasteful number, since it uses less digits than its factorization.

31478016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2447 (or 2433 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 31478016 is about 5610.5272479509. The cubic root of 31478016 is about 315.7444924937.

The spelling of 31478016 in words is "thirty-one million, four hundred seventy-eight thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 256 272 384 408 544 768 816 1088 1632 2176 2411 3264 4352 4822 6528 7233 9644 13056 14466 19288 28932 38576 40987 57864 77152 81974 115728 122961 154304 163948 231456 245922 308608 327896 462912 491844 617216 655792 925824 983688 1311584 1851648 1967376 2623168 3934752 5246336 7869504 10492672 15739008 31478016