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426564320 = 25571329297
BaseRepresentation
bin11001011011001…
…101101011100000
31002201122201020112
4121123031223200
51333200024240
6110154430452
713366510520
oct3133155340
91081581215
10426564320
111a986a0a6
12baa32428
136a4b2830
144091b680
15276ae665
hex196cdae0

426564320 has 96 divisors (see below), whose sum is σ = 1240360128. Its totient is φ = 134995968.

The previous prime is 426564319. The next prime is 426564353. The reversal of 426564320 is 23465624.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

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, 89 + ... + 29208.

It is an arithmetic number, because the mean of its divisors is an integer number (12920418).

Almost surely, 2426564320 is an apocalyptic number.

426564320 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 426564320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (620180064).

426564320 is an abundant number, since it is smaller than the sum of its proper divisors (813795808).

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

426564320 is a wasteful number, since it uses less digits than its factorization.

426564320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29332 (or 29324 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 32.

The square root of 426564320 is about 20653.4336128403. The cubic root of 426564320 is about 752.7686233531.

The spelling of 426564320 in words is "four hundred twenty-six million, five hundred sixty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 32 35 40 52 56 65 70 80 91 104 112 130 140 160 182 208 224 260 280 364 416 455 520 560 728 910 1040 1120 1456 1820 2080 2912 3640 7280 14560 29297 58594 117188 146485 205079 234376 292970 380861 410158 468752 585940 761722 820316 937504 1025395 1171880 1523444 1640632 1904305 2050790 2343760 2666027 3046888 3281264 3808610 4101580 4687520 5332054 6093776 6562528 7617220 8203160 10664108 12187552 13330135 15234440 16406320 21328216 26660270 30468880 32812640 42656432 53320540 60937760 85312864 106641080 213282160 426564320