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426269424 = 24373171523
BaseRepresentation
bin11001011010000…
…101101011110000
31002201002201201110
4121122011223300
51333111110144
6110144233320
713364142000
oct3132055360
91081081643
10426269424
111a9688589
12ba90b840
136a40b539
1440882000
15276520b9
hex19685af0

426269424 has 160 divisors (see below), whose sum is σ = 1360627200. Its totient is φ = 114551808.

The previous prime is 426269423. The next prime is 426269479. The reversal of 426269424 is 424962624.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (426269423) 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, 279127 + ... + 280649.

It is an arithmetic number, because the mean of its divisors is an integer number (8503920).

Almost surely, 2426269424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 426269424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (680313600).

426269424 is an abundant number, since it is smaller than the sum of its proper divisors (934357776).

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

426269424 is a wasteful number, since it uses less digits than its factorization.

426269424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1572 (or 1552 counting only the distinct ones).

The product of its digits is 165888, while the sum is 39.

The square root of 426269424 is about 20646.2932266303. The cubic root of 426269424 is about 752.5951132705.

The spelling of 426269424 in words is "four hundred twenty-six million, two hundred sixty-nine thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 34 42 48 49 51 56 68 84 98 102 112 119 136 147 168 196 204 238 272 294 336 343 357 392 408 476 588 686 714 784 816 833 952 1029 1176 1372 1428 1523 1666 1904 2058 2352 2499 2744 2856 3046 3332 4116 4569 4998 5488 5712 5831 6092 6664 8232 9138 9996 10661 11662 12184 13328 16464 17493 18276 19992 21322 23324 24368 25891 31983 34986 36552 39984 42644 46648 51782 63966 69972 73104 74627 77673 85288 93296 103564 127932 139944 149254 155346 170576 181237 207128 223881 255864 279888 298508 310692 362474 414256 447762 511728 522389 543711 597016 621384 724948 895524 1044778 1087422 1194032 1242768 1268659 1449896 1567167 1791048 2089556 2174844 2537318 2899792 3134334 3582096 3805977 4179112 4349688 5074636 6268668 7611954 8358224 8699376 8880613 10149272 12537336 15223908 17761226 20298544 25074672 26641839 30447816 35522452 53283678 60895632 71044904 106567356 142089808 213134712 426269424