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445385640 = 233573791399
BaseRepresentation
bin11010100011000…
…000101110101000
31011001001221020110
4122203000232220
51403004320030
6112110054320
714015500260
oct3243005650
91131057213
10445385640
11209454907
121051aa3a0
13713725cb
144321a7a0
152917b1b0
hex1a8c0ba8

445385640 has 128 divisors (see below), whose sum is σ = 1532160000. Its totient is φ = 101461248.

The previous prime is 445385623. The next prime is 445385653. The reversal of 445385640 is 46583544.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 317661 + ... + 319059.

It is an arithmetic number, because the mean of its divisors is an integer number (11970000).

Almost surely, 2445385640 is an apocalyptic number.

445385640 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 445385640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (766080000).

445385640 is an abundant number, since it is smaller than the sum of its proper divisors (1086774360).

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

445385640 is a wasteful number, since it uses less digits than its factorization.

445385640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1799 (or 1795 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 39.

The square root of 445385640 is about 21104.1616748925. The cubic root of 445385640 is about 763.6811485279.

The spelling of 445385640 in words is "four hundred forty-five million, three hundred eighty-five thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 379 420 758 840 1137 1399 1516 1895 2274 2653 2798 3032 3790 4197 4548 5306 5596 5685 6995 7580 7959 8394 9096 9793 10612 11192 11370 13265 13990 15160 15918 16788 19586 20985 21224 22740 26530 27980 29379 31836 33576 39172 39795 41970 45480 48965 53060 55960 58758 63672 78344 79590 83940 97930 106120 117516 146895 159180 167880 195860 235032 293790 318360 391720 530221 587580 1060442 1175160 1590663 2120884 2651105 3181326 3711547 4241768 5302210 6362652 7423094 7953315 10604420 11134641 12725304 14846188 15906630 18557735 21208840 22269282 29692376 31813260 37115470 44538564 55673205 63626520 74230940 89077128 111346410 148461880 222692820 445385640