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425402320 = 2457337419
BaseRepresentation
bin11001010110110…
…001111111010000
31002122110200021111
4121112301333100
51332400333240
6110113503104
713353601000
oct3126617720
91078420244
10425402320
111a9146072
12ba571a94
136a196965
14406d8000
15275301ea
hex195b1fd0

425402320 has 160 divisors (see below), whose sum is σ = 1187424000. Its totient is φ = 141571584.

The previous prime is 425402297. The next prime is 425402323. The reversal of 425402320 is 23204524.

It is a super-2 number, since 2×4254023202 = 361934267722764800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 425402291 and 425402300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (425402323) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1015071 + ... + 1015489.

It is an arithmetic number, because the mean of its divisors is an integer number (7421400).

Almost surely, 2425402320 is an apocalyptic number.

425402320 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 425402320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (593712000).

425402320 is an abundant number, since it is smaller than the sum of its proper divisors (762021680).

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

425402320 is a wasteful number, since it uses less digits than its factorization.

425402320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 22.

The square root of 425402320 is about 20625.2835132029. The cubic root of 425402320 is about 752.0844650108.

Adding to 425402320 its reverse (23204524), we get a palindrome (448606844).

The spelling of 425402320 in words is "four hundred twenty-five million, four hundred two thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 37 40 49 56 70 74 80 98 112 140 148 185 196 245 259 280 296 343 370 392 419 490 518 560 592 686 740 784 838 980 1036 1295 1372 1480 1676 1715 1813 1960 2072 2095 2590 2744 2933 2960 3352 3430 3626 3920 4144 4190 5180 5488 5866 6704 6860 7252 8380 9065 10360 11732 12691 13720 14504 14665 15503 16760 18130 20531 20720 23464 25382 27440 29008 29330 31006 33520 36260 41062 46928 50764 58660 62012 63455 72520 77515 82124 101528 102655 108521 117320 124024 126910 143717 145040 155030 164248 203056 205310 217042 234640 248048 253820 287434 310060 328496 410620 434084 507640 542605 574868 620120 718585 759647 821240 868168 1015280 1085210 1149736 1240240 1437170 1519294 1642480 1736336 2170420 2299472 2874340 3038588 3798235 4340840 5317529 5748680 6077176 7596470 8681680 10635058 11497360 12154352 15192940 21270116 26587645 30385880 42540232 53175290 60771760 85080464 106350580 212701160 425402320