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425985440 = 25537471531
BaseRepresentation
bin11001011001000…
…000010110100000
31002200120022011112
4121121000112200
51333023013230
6110134202452
713361550026
oct3131002640
91080508145
10425985440
111a9504191
12ba7b3428
136a33c1ba
144080a716
15275e7d95
hex196405a0

425985440 has 96 divisors (see below), whose sum is σ = 1056271104. Its totient is φ = 162155520.

The previous prime is 425985409. The next prime is 425985457. The reversal of 425985440 is 44589524.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 277475 + ... + 279005.

It is an arithmetic number, because the mean of its divisors is an integer number (11002824).

Almost surely, 2425985440 is an apocalyptic number.

425985440 is a gapful number since it is divisible by the number (40) 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 425985440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528135552).

425985440 is an abundant number, since it is smaller than the sum of its proper divisors (630285664).

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

425985440 is a wasteful number, since it uses less digits than its factorization.

425985440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1630 (or 1622 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 41.

The square root of 425985440 is about 20639.4147203839. The cubic root of 425985440 is about 752.4279479067.

The spelling of 425985440 in words is "four hundred twenty-five million, nine hundred eighty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 47 74 80 94 148 160 185 188 235 296 370 376 470 592 740 752 940 1184 1480 1504 1531 1739 1880 2960 3062 3478 3760 5920 6124 6956 7520 7655 8695 12248 13912 15310 17390 24496 27824 30620 34780 48992 55648 56647 61240 69560 71957 113294 122480 139120 143914 226588 244960 278240 283235 287828 359785 453176 566470 575656 719570 906352 1132940 1151312 1439140 1812704 2265880 2302624 2662409 2878280 4531760 5324818 5756560 9063520 10649636 11513120 13312045 21299272 26624090 42598544 53248180 85197088 106496360 212992720 425985440