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31147264 = 28172421
BaseRepresentation
bin111011011010…
…0010100000000
32011121110000101
41312310110000
530433203024
63031332144
7525514231
oct166642400
964543011
1031147264
1116644445
12a521054
1365b7245
1441cb088
152b03c44
hex1db4500

31147264 has 54 divisors (see below), whose sum is σ = 66202094. Its totient is φ = 14622720.

The previous prime is 31147243. The next prime is 31147279. The reversal of 31147264 is 46274113.

It can be written as a sum of positive squares in 3 ways, for example, as 3268864 + 27878400 = 1808^2 + 5280^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 73774 + ... + 74194.

Almost surely, 231147264 is an apocalyptic number.

31147264 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31147264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33101047).

31147264 is an abundant number, since it is smaller than the sum of its proper divisors (35054830).

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

31147264 is an equidigital number, since it uses as much as digits as its factorization.

31147264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471 (or 440 counting only the distinct ones).

The product of its digits is 4032, while the sum is 28.

The square root of 31147264 is about 5580.9733918018. The cubic root of 31147264 is about 314.6347121945.

The spelling of 31147264 in words is "thirty-one million, one hundred forty-seven thousand, two hundred sixty-four".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 256 272 289 421 544 578 842 1088 1156 1684 2176 2312 3368 4352 4624 6736 7157 9248 13472 14314 18496 26944 28628 36992 53888 57256 73984 107776 114512 121669 229024 243338 458048 486676 916096 973352 1832192 1946704 3893408 7786816 15573632 31147264