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421251408 = 24333672657
BaseRepresentation
bin11001000110111…
…100100101010000
31002100122210022000
4121012330211100
51330320021113
6105444514000
713303402134
oct3106744520
91070583260
10421251408
111a6870466
12b90ab900
13693724b6
143dd373c4
1526eb0373
hex191bc950

421251408 has 80 divisors (see below), whose sum is σ = 1212898560. Its totient is φ = 139981824.

The previous prime is 421251373. The next prime is 421251433. The reversal of 421251408 is 804152124.

421251408 is a `hidden beast` number, since 4 + 2 + 1 + 251 + 408 = 666.

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, 157216 + ... + 159872.

It is an arithmetic number, because the mean of its divisors is an integer number (15161232).

Almost surely, 2421251408 is an apocalyptic number.

421251408 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 421251408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (606449280).

421251408 is an abundant number, since it is smaller than the sum of its proper divisors (791647152).

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

421251408 is a wasteful number, since it uses less digits than its factorization.

421251408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3041 (or 3029 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 421251408 is about 20524.4100524229. The cubic root of 421251408 is about 749.6302817745.

The spelling of 421251408 in words is "four hundred twenty-one million, two hundred fifty-one thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 367 432 734 1101 1468 2202 2657 2936 3303 4404 5314 5872 6606 7971 8808 9909 10628 13212 15942 17616 19818 21256 23913 26424 31884 39636 42512 47826 52848 63768 71739 79272 95652 127536 143478 158544 191304 286956 382608 573912 975119 1147824 1950238 2925357 3900476 5850714 7800952 8776071 11701428 15601904 17552142 23402856 26328213 35104284 46805712 52656426 70208568 105312852 140417136 210625704 421251408