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31268480 = 27548857
BaseRepresentation
bin111011101000…
…1111010000000
32011211121021212
41313101322000
531001042410
63034105252
7526530515
oct167217200
964747255
1031268480
1116717521
12a57b228
13662a479
14421d30c
152b29b05
hex1dd1e80

31268480 has 32 divisors (see below), whose sum is σ = 74752740. Its totient is φ = 12507136.

The previous prime is 31268473. The next prime is 31268483. The reversal of 31268480 is 8486213.

It can be written as a sum of positive squares in 2 ways, for example, as 28472896 + 2795584 = 5336^2 + 1672^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-3 number, since 3×312684803 (a number of 23 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (31268483) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 23789 + ... + 25068.

Almost surely, 231268480 is an apocalyptic number.

It is an amenable number.

31268480 is an abundant number, since it is smaller than the sum of its proper divisors (43484260).

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

31268480 is an equidigital number, since it uses as much as digits as its factorization.

31268480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48876 (or 48864 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 31268480 is about 5591.8226009057. The cubic root of 31268480 is about 315.0423391481.

The spelling of 31268480 in words is "thirty-one million, two hundred sixty-eight thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 48857 97714 195428 244285 390856 488570 781712 977140 1563424 1954280 3126848 3908560 6253696 7817120 15634240 31268480