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31425408 = 27347433
BaseRepresentation
bin111011111100…
…0001110000000
32012010120120000
41313320032000
531021103113
63041320000
7531053160
oct167701600
965116500
1031425408
1116814413
12a636000
136683a21
1442605a0
152b5b373
hex1df8380

31425408 has 160 divisors (see below), whose sum is σ = 107128560. Its totient is φ = 8957952.

The previous prime is 31425397. The next prime is 31425461. The reversal of 31425408 is 80452413.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 72360 + ... + 72792.

Almost surely, 231425408 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 31425408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53564280).

31425408 is an abundant number, since it is smaller than the sum of its proper divisors (75703152).

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

31425408 is an equidigital number, since it uses as much as digits as its factorization.

31425408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 31425408 is about 5605.8369580287. The cubic root of 31425408 is about 315.5684971953.

The spelling of 31425408 in words is "thirty-one million, four hundred twenty-five thousand, four hundred eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 81 84 96 108 112 126 128 144 162 168 189 192 216 224 252 288 324 336 378 384 432 433 448 504 567 576 648 672 756 864 866 896 1008 1134 1152 1296 1299 1344 1512 1728 1732 2016 2268 2592 2598 2688 3024 3031 3456 3464 3897 4032 4536 5184 5196 6048 6062 6928 7794 8064 9072 9093 10368 10392 11691 12096 12124 13856 15588 18144 18186 20784 23382 24192 24248 27279 27712 31176 35073 36288 36372 41568 46764 48496 54558 55424 62352 70146 72576 72744 81837 83136 93528 96992 109116 124704 140292 145488 163674 166272 187056 193984 218232 245511 249408 280584 290976 327348 374112 387968 436464 491022 498816 561168 581952 654696 748224 872928 982044 1122336 1163904 1309392 1496448 1745856 1964088 2244672 2618784 3491712 3928176 4489344 5237568 7856352 10475136 15712704 31425408