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421506008 = 237113122073
BaseRepresentation
bin11001000111111…
…010101111011000
31002101010201112122
4121013322233120
51330401143013
6105454200412
713305512330
oct3107725730
91071121478
10421506008
111a6a24780
12b91b3108
1369431351
143dda20c0
1527010a08
hex191fabd8

421506008 has 64 divisors (see below), whose sum is σ = 1017169920. Its totient is φ = 158918400.

The previous prime is 421505983. The next prime is 421506037. The reversal of 421506008 is 800605124.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8060 + ... + 30132.

It is an arithmetic number, because the mean of its divisors is an integer number (15893280).

Almost surely, 2421506008 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 421506008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508584960).

421506008 is an abundant number, since it is smaller than the sum of its proper divisors (595663912).

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

421506008 is a wasteful number, since it uses less digits than its factorization.

421506008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22128 (or 22124 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 421506008 is about 20530.6114862661. The cubic root of 421506008 is about 749.7812742924.

The spelling of 421506008 in words is "four hundred twenty-one million, five hundred six thousand, eight".

Divisors: 1 2 4 7 8 11 14 22 28 31 44 56 62 77 88 124 154 217 248 308 341 434 616 682 868 1364 1736 2387 2728 4774 9548 19096 22073 44146 88292 154511 176584 242803 309022 485606 618044 684263 971212 1236088 1368526 1699621 1942424 2737052 3399242 4789841 5474104 6798484 7526893 9579682 13596968 15053786 19159364 30107572 38318728 52688251 60215144 105376502 210753004 421506008