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428324292 = 2232114872221
BaseRepresentation
bin11001100001111…
…011010111000100
31002211222010110200
4121201323113010
51334122334132
6110300250500
713420460604
oct3141732704
91084863420
10428324292
111aa861420
12bb540a30
136a97a936
1440c58c04
152790ad7c
hex1987b5c4

428324292 has 72 divisors (see below), whose sum is σ = 1184094912. Its totient is φ = 129470400.

The previous prime is 428324291. The next prime is 428324293. The reversal of 428324292 is 292423824.

428324292 is a `hidden beast` number, since 42 + 8 + 324 + 292 = 666.

It is an interprime number because it is at equal distance from previous prime (428324291) and next prime (428324293).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (428324291) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 191742 + ... + 193962.

Almost surely, 2428324292 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 428324292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (592047456).

428324292 is an abundant number, since it is smaller than the sum of its proper divisors (755770620).

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

428324292 is a wasteful number, since it uses less digits than its factorization.

428324292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2729 (or 2724 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 428324292 is about 20695.9970042518. The cubic root of 428324292 is about 753.8024914971.

The spelling of 428324292 in words is "four hundred twenty-eight million, three hundred twenty-four thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 487 974 1461 1948 2221 2922 4383 4442 5357 5844 6663 8766 8884 10714 13326 16071 17532 19989 21428 24431 26652 32142 39978 48213 48862 64284 73293 79956 96426 97724 146586 192852 219879 293172 439758 879516 1081627 2163254 3244881 4326508 6489762 9734643 11897897 12979524 19469286 23795794 35693691 38938572 47591588 71387382 107081073 142774764 214162146 428324292