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31425072 = 2437231431
BaseRepresentation
bin111011111100…
…0001000110000
32012010120002120
41313320020300
531021100242
63041314240
7531052200
oct167701060
965116076
1031425072
1116814138
12a635980
136683823
144260400
152b5b1ec
hex1df8230

31425072 has 120 divisors (see below), whose sum is σ = 97708032. Its totient is φ = 8668800.

The previous prime is 31425071. The next prime is 31425083. The reversal of 31425072 is 27052413.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (31425071) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72697 + ... + 73127.

Almost surely, 231425072 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 31425072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48854016).

31425072 is an abundant number, since it is smaller than the sum of its proper divisors (66282960).

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

31425072 is a wasteful number, since it uses less digits than its factorization.

31425072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 487 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 31425072 is about 5605.8069891854. The cubic root of 31425072 is about 315.5673725067.

Adding to 31425072 its reverse (27052413), we get a palindrome (58477485).

The spelling of 31425072 in words is "thirty-one million, four hundred twenty-five thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 42 48 49 56 62 84 93 98 112 124 147 168 186 196 217 248 294 336 372 392 431 434 496 588 651 744 784 862 868 1176 1293 1302 1488 1519 1724 1736 2352 2586 2604 3017 3038 3448 3472 4557 5172 5208 6034 6076 6896 9051 9114 10344 10416 12068 12152 13361 18102 18228 20688 21119 24136 24304 26722 36204 36456 40083 42238 48272 53444 63357 72408 72912 80166 84476 93527 106888 126714 144816 160332 168952 187054 213776 253428 280581 320664 337904 374108 506856 561162 641328 654689 748216 1013712 1122324 1309378 1496432 1964067 2244648 2618756 3928134 4489296 5237512 7856268 10475024 15712536 31425072