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425629952 = 2811172523
BaseRepresentation
bin11001010111101…
…001100100000000
31002122220020112022
4121113221210000
51332430124302
6110122421012
713355536436
oct3127514400
91078806468
10425629952
111a92910a0
12ba661768
136a246457
1440756d56
15275778a2
hex195e9900

425629952 has 108 divisors (see below), whose sum is σ = 986442576. Its totient is φ = 181739520.

The previous prime is 425629949. The next prime is 425629957. The reversal of 425629952 is 259926524.

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (425629957) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 813563 + ... + 814085.

Almost surely, 2425629952 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 425629952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493221288).

425629952 is an abundant number, since it is smaller than the sum of its proper divisors (560812624).

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

425629952 is a wasteful number, since it uses less digits than its factorization.

425629952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 584 (or 553 counting only the distinct ones).

The product of its digits is 388800, while the sum is 44.

The square root of 425629952 is about 20630.8010508560. The cubic root of 425629952 is about 752.2185874293.

The spelling of 425629952 in words is "four hundred twenty-five million, six hundred twenty-nine thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 64 68 88 128 136 176 187 256 272 289 352 374 523 544 578 704 748 1046 1088 1156 1408 1496 2092 2176 2312 2816 2992 3179 4184 4352 4624 5753 5984 6358 8368 8891 9248 11506 11968 12716 16736 17782 18496 23012 23936 25432 33472 35564 36992 46024 47872 50864 66944 71128 73984 92048 97801 101728 133888 142256 151147 184096 195602 203456 284512 302294 368192 391204 406912 569024 604588 736384 782408 813824 1138048 1209176 1472768 1564816 1662617 2276096 2418352 3129632 3325234 4836704 6259264 6650468 9673408 12518528 13300936 19346816 25037056 26601872 38693632 53203744 106407488 212814976 425629952