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421811880 = 23357653769
BaseRepresentation
bin11001001001000…
…101011010101000
31002101201021010020
4121021011122220
51330440440010
6105504520440
713311225150
oct3111053250
91071637106
10421811880
111a7113566
12b9320120
136950a639
1440041760
1527071470
hex192456a8

421811880 has 128 divisors (see below), whose sum is σ = 1450310400. Its totient is φ = 96141312.

The previous prime is 421811879. The next prime is 421811911. The reversal of 421811880 is 88118124.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 548136 + ... + 548904.

It is an arithmetic number, because the mean of its divisors is an integer number (11330550).

Almost surely, 2421811880 is an apocalyptic number.

421811880 is a gapful number since it is divisible by the number (40) 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 421811880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (725155200).

421811880 is an abundant number, since it is smaller than the sum of its proper divisors (1028498520).

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

421811880 is a wasteful number, since it uses less digits than its factorization.

421811880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1443 (or 1439 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 33.

The square root of 421811880 is about 20538.0593046179. The cubic root of 421811880 is about 749.9625936899.

The spelling of 421811880 in words is "four hundred twenty-one million, eight hundred eleven thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 653 769 840 1306 1538 1959 2307 2612 3076 3265 3845 3918 4571 4614 5224 5383 6152 6530 7690 7836 9142 9228 9795 10766 11535 13060 13713 15380 15672 16149 18284 18456 19590 21532 22855 23070 26120 26915 27426 30760 32298 36568 39180 43064 45710 46140 53830 54852 64596 68565 78360 80745 91420 92280 107660 109704 129192 137130 161490 182840 215320 274260 322980 502157 548520 645960 1004314 1506471 2008628 2510785 3012942 3515099 4017256 5021570 6025884 7030198 7532355 10043140 10545297 12051768 14060396 15064710 17575495 20086280 21090594 28120792 30129420 35150990 42181188 52726485 60258840 70301980 84362376 105452970 140603960 210905940 421811880