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421074576 = 243213435231
BaseRepresentation
bin11001000110010…
…001011010010000
31002100022210201200
4121012101122100
51330243341301
6105441031200
713302034446
oct3106213220
91070283650
10421074576
111a675a61a
12b9025500
136930cb70
143dcccb96
1526e77c86
hex19191690

421074576 has 120 divisors (see below), whose sum is σ = 1298833536. Its totient is φ = 126524160.

The previous prime is 421074539. The next prime is 421074607. The reversal of 421074576 is 675470124.

421074576 is a `hidden beast` number, since 4 + 2 + 10 + 74 + 576 = 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 self number, because there is not a number n which added to its sum of digits gives 421074576.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 77881 + ... + 83111.

Almost surely, 2421074576 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 421074576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (649416768).

421074576 is an abundant number, since it is smaller than the sum of its proper divisors (877758960).

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

421074576 is a wasteful number, since it uses less digits than its factorization.

421074576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5301 (or 5292 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 421074576 is about 20520.1017541337. The cubic root of 421074576 is about 749.5253743707.

The spelling of 421074576 in words is "four hundred twenty-one million, seventy-four thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 43 48 52 72 78 86 104 117 129 144 156 172 208 234 258 312 344 387 468 516 559 624 688 774 936 1032 1118 1548 1677 1872 2064 2236 3096 3354 4472 5031 5231 6192 6708 8944 10062 10462 13416 15693 20124 20924 26832 31386 40248 41848 47079 62772 68003 80496 83696 94158 125544 136006 188316 204009 224933 251088 272012 376632 408018 449866 544024 612027 674799 753264 816036 899732 1088048 1224054 1349598 1632072 1799464 2024397 2448108 2699196 2924129 3264144 3598928 4048794 4896216 5398392 5848258 8097588 8772387 9792432 10796784 11696516 16195176 17544774 23393032 26317161 32390352 35089548 46786064 52634322 70179096 105268644 140358192 210537288 421074576