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426012480 = 2633549307
BaseRepresentation
bin11001011001000…
…110111101000000
31002200121200021000
4121121012331000
51333024344410
6110134532000
713362021615
oct3131067500
91080550230
10426012480
111a9522533
12ba807000
136a34b5ba
144081650c
1527600dc0
hex19646f40

426012480 has 112 divisors (see below), whose sum is σ = 1502907840. Its totient is φ = 113601024.

The previous prime is 426012467. The next prime is 426012497. The reversal of 426012480 is 84210624.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16014 + ... + 33293.

It is an arithmetic number, because the mean of its divisors is an integer number (13418820).

Almost surely, 2426012480 is an apocalyptic number.

426012480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

426012480 is an abundant number, since it is smaller than the sum of its proper divisors (1076895360).

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

426012480 is a wasteful number, since it uses less digits than its factorization.

426012480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49333 (or 49317 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 426012480 is about 20640.0697673239. The cubic root of 426012480 is about 752.4438680293.

The spelling of 426012480 in words is "four hundred twenty-six million, twelve thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 135 144 160 180 192 216 240 270 288 320 360 432 480 540 576 720 864 960 1080 1440 1728 2160 2880 4320 8640 49307 98614 147921 197228 246535 295842 394456 443763 493070 591684 739605 788912 887526 986140 1183368 1331289 1479210 1577824 1775052 1972280 2218815 2366736 2662578 2958420 3155648 3550104 3944560 4437630 4733472 5325156 5916840 6656445 7100208 7889120 8875260 9466944 10650312 11833680 13312890 14200416 15778240 17750520 21300624 23667360 26625780 28400832 35501040 42601248 47334720 53251560 71002080 85202496 106503120 142004160 213006240 426012480