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424204992 = 2633317919
BaseRepresentation
bin11001010010001…
…101101011000000
31002120012211212000
4121102031223000
51332044024432
6110032104000
713340453151
oct3122155300
91076184760
10424204992
111a84a8542
12ba095000
1369b67993
14404a5928
152739557c
hex1948dac0

424204992 has 112 divisors (see below), whose sum is σ = 1287475200. Its totient is φ = 136823040.

The previous prime is 424204987. The next prime is 424204999. The reversal of 424204992 is 299402424.

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 (424204999) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49609 + ... + 57527.

Almost surely, 2424204992 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 424204992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (643737600).

424204992 is an abundant number, since it is smaller than the sum of its proper divisors (863270208).

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

424204992 is a wasteful number, since it uses less digits than its factorization.

424204992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7971 (or 7955 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 424204992 is about 20596.2373262691. The cubic root of 424204992 is about 751.3782018615.

The spelling of 424204992 in words is "four hundred twenty-four million, two hundred four thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 64 72 93 96 108 124 144 186 192 216 248 279 288 372 432 496 558 576 744 837 864 992 1116 1488 1674 1728 1984 2232 2976 3348 4464 5952 6696 7919 8928 13392 15838 17856 23757 26784 31676 47514 53568 63352 71271 95028 126704 142542 190056 213813 245489 253408 285084 380112 427626 490978 506816 570168 736467 760224 855252 981956 1140336 1472934 1520448 1710504 1963912 2209401 2280672 2945868 3421008 3927824 4418802 4561344 5891736 6628203 6842016 7855648 8837604 11783472 13256406 13684032 15711296 17675208 23566944 26512812 35350416 47133888 53025624 70700832 106051248 141401664 212102496 424204992