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425458944 = 2832199719
BaseRepresentation
bin11001010110111…
…111110100000000
31002122120112221200
4121112333310000
51332404141234
6110115021200
713354225041
oct3126776400
91078515850
10425458944
111a9184669
12ba59a800
136a1b6671
14407108c8
1527541d99
hex195bfd00

425458944 has 108 divisors (see below), whose sum is σ = 1291399200. Its totient is φ = 134341632.

The previous prime is 425458933. The next prime is 425458951. The reversal of 425458944 is 449854524.

It is a happy number.

425458944 is a `hidden beast` number, since 4 + 25 + 4 + 589 + 44 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 425458944.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38917 + ... + 48635.

It is an arithmetic number, because the mean of its divisors is an integer number (11957400).

Almost surely, 2425458944 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 425458944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (645699600).

425458944 is an abundant number, since it is smaller than the sum of its proper divisors (865940256).

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

425458944 is a wasteful number, since it uses less digits than its factorization.

425458944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9760 (or 9743 counting only the distinct ones).

The product of its digits is 921600, while the sum is 45.

The square root of 425458944 is about 20626.6561516888. The cubic root of 425458944 is about 752.1178327503.

The spelling of 425458944 in words is "four hundred twenty-five million, four hundred fifty-eight thousand, nine hundred forty-four".

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 9719 10944 14592 19438 21888 29157 38876 43776 58314 77752 87471 116628 155504 174942 184661 233256 311008 349884 369322 466512 553983 622016 699768 738644 933024 1107966 1244032 1399536 1477288 1661949 1866048 2215932 2488064 2799072 2954576 3323898 3732096 4431864 5598144 5909152 6647796 7464192 8863728 11196288 11818304 13295592 17727456 22392576 23636608 26591184 35454912 47273216 53182368 70909824 106364736 141819648 212729472 425458944