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426136464 = 2435138431
BaseRepresentation
bin11001011001100…
…101001110010000
31002200211222100000
4121121211032100
51333042331324
6110141330000
713363046235
oct3131451620
91080758300
10426136464
111a95a76a6
12ba866900
136a392b70
144084978c
15276279c9
hex19665390

426136464 has 120 divisors (see below), whose sum is σ = 1332053632. Its totient is φ = 131103360.

The previous prime is 426136463. The next prime is 426136489. The reversal of 426136464 is 464631624.

426136464 is a `hidden beast` number, since 4 + 2 + 6 + 1 + 3 + 646 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (426136463) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 46329 + ... + 54759.

Almost surely, 2426136464 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 426136464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (666026816).

426136464 is an abundant number, since it is smaller than the sum of its proper divisors (905917168).

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

426136464 is a wasteful number, since it uses less digits than its factorization.

426136464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8467 (or 8449 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The square root of 426136464 is about 20643.0730270471. The cubic root of 426136464 is about 752.5168564636.

The spelling of 426136464 in words is "four hundred twenty-six million, one hundred thirty-six thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 81 104 108 117 144 156 162 208 216 234 243 312 324 351 432 468 486 624 648 702 936 972 1053 1296 1404 1872 1944 2106 2808 3159 3888 4212 5616 6318 8424 8431 12636 16848 16862 25272 25293 33724 50544 50586 67448 75879 101172 109603 134896 151758 202344 219206 227637 303516 328809 404688 438412 455274 607032 657618 682911 876824 910548 986427 1214064 1315236 1365822 1753648 1821096 1972854 2048733 2630472 2731644 2959281 3642192 3945708 4097466 5260944 5463288 5918562 7891416 8194932 8877843 10926576 11837124 15782832 16389864 17755686 23674248 26633529 32779728 35511372 47348496 53267058 71022744 106534116 142045488 213068232 426136464