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421141408 = 25172397347
BaseRepresentation
bin11001000110100…
…001101110100000
31002100110012101221
4121012201232200
51330303011113
6105442304424
713302433342
oct3106415640
91070405357
10421141408
111a67a5856
12b9058114
13693343cc
143dd09292
1526e8c98d
hex191a1ba0

421141408 has 96 divisors (see below), whose sum is σ = 928174464. Its totient is φ = 187072512.

The previous prime is 421141397. The next prime is 421141423. The reversal of 421141408 is 804141124.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1213491 + ... + 1213837.

It is an arithmetic number, because the mean of its divisors is an integer number (9668484).

Almost surely, 2421141408 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 421141408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464087232).

421141408 is an abundant number, since it is smaller than the sum of its proper divisors (507033056).

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

421141408 is a wasteful number, since it uses less digits than its factorization.

421141408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 494 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 25.

The square root of 421141408 is about 20521.7301414866. The cubic root of 421141408 is about 749.5650265944.

The spelling of 421141408 in words is "four hundred twenty-one million, one hundred forty-one thousand, four hundred eight".

Divisors: 1 2 4 8 16 17 23 32 34 46 68 92 97 136 184 194 272 347 368 388 391 544 694 736 776 782 1388 1552 1564 1649 2231 2776 3104 3128 3298 4462 5552 5899 6256 6596 7981 8924 11104 11798 12512 13192 15962 17848 23596 26384 31924 33659 35696 37927 47192 52768 63848 67318 71392 75854 94384 127696 134636 135677 151708 188768 255392 269272 271354 303416 538544 542708 572203 606832 774157 1077088 1085416 1144406 1213664 1548314 2170832 2288812 3096628 4341664 4577624 6193256 9155248 12386512 13160669 18310496 24773024 26321338 52642676 105285352 210570704 421141408