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425056770 = 2325291491093
BaseRepresentation
bin11001010101011…
…101101000000010
31002121211010021100
4121111131220002
51332303304040
6110102235230
713350631365
oct3125355002
91077733240
10425056770
111a8a2a496
12ba425b16
136a0a55a8
14406480dc
15274b2b30
hex1955da02

425056770 has 96 divisors (see below), whose sum is σ = 1151982000. Its totient is φ = 108605952.

The previous prime is 425056739. The next prime is 425056789. The reversal of 425056770 is 77650524.

425056770 is a `hidden beast` number, since 4 + 25 + 0 + 567 + 70 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 236021769 + 189035001 = 15363^2 + 13749^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 388344 + ... + 389436.

Almost surely, 2425056770 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 425056770, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (575991000).

425056770 is an abundant number, since it is smaller than the sum of its proper divisors (726925230).

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

425056770 is a wasteful number, since it uses less digits than its factorization.

425056770 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1284 (or 1281 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The square root of 425056770 is about 20616.9049568552. The cubic root of 425056770 is about 751.8807729815.

The spelling of 425056770 in words is "four hundred twenty-five million, fifty-six thousand, seven hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 29 30 45 58 87 90 145 149 174 261 290 298 435 447 522 745 870 894 1093 1305 1341 1490 2186 2235 2610 2682 3279 4321 4470 5465 6558 6705 8642 9837 10930 12963 13410 16395 19674 21605 25926 31697 32790 38889 43210 49185 63394 64815 77778 95091 98370 129630 158485 162857 190182 194445 285273 316970 325714 388890 475455 488571 570546 814285 950910 977142 1426365 1465713 1628570 2442855 2852730 2931426 4722853 4885710 7328565 9445706 14168559 14657130 23614265 28337118 42505677 47228530 70842795 85011354 141685590 212528385 425056770