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31156480 = 285101241
BaseRepresentation
bin111011011011…
…0100100000000
32011121220122201
41312312210000
530434001410
63031442544
7525553135
oct166664400
964556581
1031156480
1116650363
12a526454
1365bb4b4
1441d058c
152b0683a
hex1db6900

31156480 has 72 divisors (see below), whose sum is σ = 75681144. Its totient is φ = 12288000.

The previous prime is 31156459. The next prime is 31156483. The reversal of 31156480 is 8465113.

It can be written as a sum of positive squares in 4 ways, for example, as 14379264 + 16777216 = 3792^2 + 4096^2 .

It is a super-3 number, since 3×311564803 (a number of 23 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (31156483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 129160 + ... + 129400.

It is an arithmetic number, because the mean of its divisors is an integer number (1051127).

Almost surely, 231156480 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 31156480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37840572).

31156480 is an abundant number, since it is smaller than the sum of its proper divisors (44524664).

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

31156480 is a wasteful number, since it uses less digits than its factorization.

31156480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 31156480 is about 5581.7989931562. The cubic root of 31156480 is about 314.6657410040.

The spelling of 31156480 in words is "thirty-one million, one hundred fifty-six thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 101 128 160 202 241 256 320 404 482 505 640 808 964 1010 1205 1280 1616 1928 2020 2410 3232 3856 4040 4820 6464 7712 8080 9640 12928 15424 16160 19280 24341 25856 30848 32320 38560 48682 61696 64640 77120 97364 121705 129280 154240 194728 243410 308480 389456 486820 778912 973640 1557824 1947280 3115648 3894560 6231296 7789120 15578240 31156480