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421312392 = 2332412592
BaseRepresentation
bin11001000111001…
…011011110001000
31002100202212221200
4121013023132020
51330323444032
6105450104200
713304045004
oct3107133610
91070685850
10421312392
111a6902266
12b911b060
1369394197
143dd51704
1526ec347c
hex191cb788

421312392 has 108 divisors (see below), whose sum is σ = 1189722885. Its totient is φ = 134689920.

The previous prime is 421312387. The next prime is 421312417. The reversal of 421312392 is 293213124.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

421312392 is a `hidden beast` number, since 421 + 3 + 1 + 239 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 300883716 + 120428676 = 17346^2 + 10974^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=14514.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 7140859 + ... + 7140917.

Almost surely, 2421312392 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 421312392

421312392 is an abundant number, since it is smaller than the sum of its proper divisors (768410493).

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

421312392 is a wasteful number, since it uses less digits than its factorization.

421312392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 105 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 421312392 is about 20525.8956442831. The cubic root of 421312392 is about 749.6664543517. Note that the first 3 decimals are identical.

Multiplying 421312392 by its product of digits (2592), we get a square (1092041720064 = 10450082).

The spelling of 421312392 in words is "four hundred twenty-one million, three hundred twelve thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 41 59 72 82 118 123 164 177 236 246 328 354 369 472 492 531 708 738 984 1062 1416 1476 1681 2124 2419 2952 3362 3481 4248 4838 5043 6724 6962 7257 9676 10086 10443 13448 13924 14514 15129 19352 20172 20886 21771 27848 29028 30258 31329 40344 41772 43542 58056 60516 62658 83544 87084 99179 121032 125316 142721 174168 198358 250632 285442 297537 396716 428163 570884 595074 793432 856326 892611 1141768 1190148 1284489 1712652 1785222 2380296 2568978 3425304 3570444 5137956 5851561 7140888 10275912 11703122 17554683 23406244 35109366 46812488 52664049 70218732 105328098 140437464 210656196 421312392