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425242624 = 2121731197
BaseRepresentation
bin11001010110001…
…011000000000000
31002122011120012211
4121112023000000
51332330230444
6110110231504
713352334262
oct3126130000
91078146184
10425242624
111a9047094
12ba4b5594
136a13c071
1440695b32
15274ecc34
hex1958b000

425242624 has 104 divisors (see below), whose sum is σ = 934167168. Its totient is φ = 192675840.

The previous prime is 425242619. The next prime is 425242633. The reversal of 425242624 is 426242524.

It is a hoax number, since the sum of its digits (31) 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 (31).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2158494 + ... + 2158690.

Almost surely, 2425242624 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 425242624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467083584).

425242624 is an abundant number, since it is smaller than the sum of its proper divisors (508924544).

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

425242624 is a wasteful number, since it uses less digits than its factorization.

425242624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 247 counting only the distinct ones).

The product of its digits is 30720, while the sum is 31.

The square root of 425242624 is about 20621.4117848415. The cubic root of 425242624 is about 751.9903424141.

It can be divided in two parts, 425 and 242624, that added together give a square (243049 = 4932).

The spelling of 425242624 in words is "four hundred twenty-five million, two hundred forty-two thousand, six hundred twenty-four".

Divisors: 1 2 4 8 16 17 31 32 34 62 64 68 124 128 136 197 248 256 272 394 496 512 527 544 788 992 1024 1054 1088 1576 1984 2048 2108 2176 3152 3349 3968 4096 4216 4352 6107 6304 6698 7936 8432 8704 12214 12608 13396 15872 16864 17408 24428 25216 26792 31744 33728 34816 48856 50432 53584 63488 67456 69632 97712 100864 103819 107168 126976 134912 195424 201728 207638 214336 269824 390848 403456 415276 428672 539648 781696 806912 830552 857344 1079296 1563392 1661104 1714688 2158592 3126784 3322208 3429376 6253568 6644416 6858752 12507136 13288832 13717504 25014272 26577664 53155328 106310656 212621312 425242624