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421302432 = 25317673853
BaseRepresentation
bin11001000111001…
…001000010100000
31002100202101021210
4121013021002200
51330323134212
6105445550120
713304003655
oct3107110240
91070671253
10421302432
111a68a5831
12b9115340
136938c7a5
143dd4bc2c
1526ec053c
hex191c90a0

421302432 has 96 divisors (see below), whose sum is σ = 1188758592. Its totient is φ = 130166784.

The previous prime is 421302397. The next prime is 421302473. The reversal of 421302432 is 234203124.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×4213024322 = 354991478418229248, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 421302399 and 421302408.

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, 107418 + ... + 111270.

It is an arithmetic number, because the mean of its divisors is an integer number (12382902).

Almost surely, 2421302432 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 421302432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594379296).

421302432 is an abundant number, since it is smaller than the sum of its proper divisors (767456160).

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

421302432 is a wasteful number, since it uses less digits than its factorization.

421302432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3950 (or 3942 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 421302432 is about 20525.6530224985. The cubic root of 421302432 is about 749.6605468297.

Adding to 421302432 its reverse (234203124), we get a palindrome (655505556).

The spelling of 421302432 in words is "four hundred twenty-one million, three hundred two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 67 68 96 102 134 136 201 204 268 272 402 408 536 544 804 816 1072 1139 1608 1632 2144 2278 3216 3417 3853 4556 6432 6834 7706 9112 11559 13668 15412 18224 23118 27336 30824 36448 46236 54672 61648 65501 92472 109344 123296 131002 184944 196503 258151 262004 369888 393006 516302 524008 774453 786012 1032604 1048016 1548906 1572024 2065208 2096032 3097812 3144048 4130416 4388567 6195624 6288096 8260832 8777134 12391248 13165701 17554268 24782496 26331402 35108536 52662804 70217072 105325608 140434144 210651216 421302432