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424495872 = 2832199697
BaseRepresentation
bin11001010011010…
…100101100000000
31002120202121212100
4121103110230000
51332132331442
6110042230400
713343104203
oct3123245400
91076677770
10424495872
111a8687039
12ba1b5400
1369c3a1b8
144053d93a
152740184c
hex194d4b00

424495872 has 108 divisors (see below), whose sum is σ = 1288476280. Its totient is φ = 134037504.

The previous prime is 424495867. The next prime is 424495873. The reversal of 424495872 is 278594424.

424495872 is a `hidden beast` number, since 4 + 24 + 49 + 587 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (424495873) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38928 + ... + 48624.

Almost surely, 2424495872 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 424495872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (644238140).

424495872 is an abundant number, since it is smaller than the sum of its proper divisors (863980408).

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

424495872 is a wasteful number, since it uses less digits than its factorization.

424495872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9738 (or 9721 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The square root of 424495872 is about 20603.2976001416. The cubic root of 424495872 is about 751.5499041897.

The spelling of 424495872 in words is "four hundred twenty-four million, four hundred ninety-five thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 64 72 76 96 114 128 144 152 171 192 228 256 288 304 342 384 456 576 608 684 768 912 1152 1216 1368 1824 2304 2432 2736 3648 4864 5472 7296 9697 10944 14592 19394 21888 29091 38788 43776 58182 77576 87273 116364 155152 174546 184243 232728 310304 349092 368486 465456 552729 620608 698184 736972 930912 1105458 1241216 1396368 1473944 1658187 1861824 2210916 2482432 2792736 2947888 3316374 3723648 4421832 5585472 5895776 6632748 7447296 8843664 11170944 11791552 13265496 17687328 22341888 23583104 26530992 35374656 47166208 53061984 70749312 106123968 141498624 212247936 424495872