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421426368 = 26331122171
BaseRepresentation
bin11001000111100…
…111010011000000
31002100222200022000
4121013213103000
51330341120433
6105452344000
713305031206
oct3107472300
91070880260
10421426368
111a697a960
12b9175000
136940401c
143dd81076
1526ee7113
hex191e74c0

421426368 has 112 divisors (see below), whose sum is σ = 1351605120. Its totient is φ = 127699200.

The previous prime is 421426367. The next prime is 421426387. The reversal of 421426368 is 863624124.

421426368 is a `hidden beast` number, since 4 + 2 + 14 + 2 + 636 + 8 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 (421426361) 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 15 ways as a sum of consecutive naturals, for example, 7923 + ... + 30093.

Almost surely, 2421426368 is an apocalyptic number.

421426368 is a gapful number since it is divisible by the number (48) 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 421426368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (675802560).

421426368 is an abundant number, since it is smaller than the sum of its proper divisors (930178752).

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

421426368 is a wasteful number, since it uses less digits than its factorization.

421426368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22203 (or 22187 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 421426368 is about 20528.6718518271. The cubic root of 421426368 is about 749.7340497051.

The spelling of 421426368 in words is "four hundred twenty-one million, four hundred twenty-six thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 88 96 99 108 132 144 176 192 198 216 264 288 297 352 396 432 528 576 594 704 792 864 1056 1188 1584 1728 2112 2376 3168 4752 6336 9504 19008 22171 44342 66513 88684 133026 177368 199539 243881 266052 354736 399078 487762 532104 598617 709472 731643 798156 975524 1064208 1197234 1418944 1463286 1596312 1951048 2128416 2194929 2394468 2926572 3192624 3902096 4256832 4389858 4788936 5853144 6385248 6584787 7804192 8779716 9577872 11706288 12770496 13169574 15608384 17559432 19155744 23412576 26339148 35118864 38311488 46825152 52678296 70237728 105356592 140475456 210713184 421426368