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420783792 = 243112135573
BaseRepresentation
bin11001000101001…
…010011010110000
31002022210000211220
4121011022122300
51330210040132
6105430505040
713266413622
oct3105123260
91068700756
10420783792
111a6581100
12b8b05180
136923a6c0
143dc54c12
1526e1ba2c
hex1914a6b0

420783792 has 120 divisors (see below), whose sum is σ = 1286969712. Its totient is φ = 117680640.

The previous prime is 420783773. The next prime is 420783793. The reversal of 420783792 is 297387024.

It is not an unprimeable number, because it can be changed into a prime (420783793) 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, 72718 + ... + 78290.

Almost surely, 2420783792 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 420783792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (643484856).

420783792 is an abundant number, since it is smaller than the sum of its proper divisors (866185920).

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

420783792 is a wasteful number, since it uses less digits than its factorization.

420783792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5619 (or 5602 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 42.

The square root of 420783792 is about 20513.0151854865. The cubic root of 420783792 is about 749.3527998922.

The spelling of 420783792 in words is "four hundred twenty million, seven hundred eighty-three thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 33 39 44 48 52 66 78 88 104 121 132 143 156 176 208 242 264 286 312 363 429 484 528 572 624 726 858 968 1144 1452 1573 1716 1936 2288 2904 3146 3432 4719 5573 5808 6292 6864 9438 11146 12584 16719 18876 22292 25168 33438 37752 44584 61303 66876 72449 75504 89168 122606 133752 144898 183909 217347 245212 267504 289796 367818 434694 490424 579592 674333 735636 796939 869388 980848 1159184 1348666 1471272 1593878 1738776 2022999 2390817 2697332 2942544 3187756 3477552 4045998 4781634 5394664 6375512 8091996 8766329 9563268 10789328 12751024 16183992 17532658 19126536 26298987 32367984 35065316 38253072 52597974 70130632 105195948 140261264 210391896 420783792