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31272768 = 263254293
BaseRepresentation
bin111011101001…
…0111101000000
32011211211011200
41313102331000
531001212033
63034141200
7526546152
oct167227500
964754150
1031272768
111671a76a
12a581800
13662c3c7
144220ad2
152b2b013
hex1dd2f40

31272768 has 42 divisors (see below), whose sum is σ = 89639394. Its totient is φ = 10424064.

The previous prime is 31272763. The next prime is 31272779. The reversal of 31272768 is 86727213.

It can be written as a sum of positive squares in only one way, i.e., 31270464 + 2304 = 5592^2 + 48^2 .

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 (31272763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 26571 + ... + 27722.

Almost surely, 231272768 is an apocalyptic number.

It is an amenable number.

31272768 is an abundant number, since it is smaller than the sum of its proper divisors (58366626).

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

31272768 is a wasteful number, since it uses less digits than its factorization.

31272768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54311 (or 54298 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

The square root of 31272768 is about 5592.2060047892. The cubic root of 31272768 is about 315.0567395902.

The spelling of 31272768 in words is "thirty-one million, two hundred seventy-two thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 54293 108586 162879 217172 325758 434344 488637 651516 868688 977274 1303032 1737376 1954548 2606064 3474752 3909096 5212128 7818192 10424256 15636384 31272768