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31225896 = 23321373457
BaseRepresentation
bin111011100011…
…1100000101000
32011202102212200
41313013200220
530443212041
63033140200
7526262412
oct167074050
964672780
1031225896
1116698529
12a55a660
136613c80
14420b9b2
152b1c1b6
hex1dc7828

31225896 has 96 divisors (see below), whose sum is σ = 92525160. Its totient is φ = 9455616.

The previous prime is 31225861. The next prime is 31225903. The reversal of 31225896 is 69852213.

31225896 is a `hidden beast` number, since 312 + 258 + 96 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 27562500 + 3663396 = 5250^2 + 1914^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 31225896.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68100 + ... + 68556.

Almost surely, 231225896 is an apocalyptic number.

31225896 is a gapful number since it is divisible by the number (36) 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 31225896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46262580).

31225896 is an abundant number, since it is smaller than the sum of its proper divisors (61299264).

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

31225896 is a wasteful number, since it uses less digits than its factorization.

31225896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 555 (or 548 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 31225896 is about 5588.0136005561. The cubic root of 31225896 is about 314.8992572777.

The spelling of 31225896 in words is "thirty-one million, two hundred twenty-five thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 73 78 104 117 146 156 219 234 292 312 438 457 468 584 657 876 914 936 949 1314 1371 1752 1828 1898 2628 2742 2847 3656 3796 4113 5256 5484 5694 5941 7592 8226 8541 10968 11388 11882 16452 17082 17823 22776 23764 32904 33361 34164 35646 47528 53469 66722 68328 71292 100083 106938 133444 142584 200166 213876 266888 300249 400332 427752 433693 600498 800664 867386 1200996 1301079 1734772 2401992 2602158 3469544 3903237 5204316 7806474 10408632 15612948 31225896