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464025690 = 232523972311
BaseRepresentation
bin11011101010000…
…111100001011010
31012100010221120200
4123222013201122
51422242310230
6114013403030
714333103402
oct3352074132
91170127520
10464025690
11218a26407
1210b499476
137519aa1b
14458ad802
152ab0e160
hex1ba8785a

464025690 has 96 divisors (see below), whose sum is σ = 1272450816. Its totient is φ = 117089280.

The previous prime is 464025671. The next prime is 464025703. The reversal of 464025690 is 96520464.

464025690 is a `hidden beast` number, since 4 + 640 + 2 + 5 + 6 + 9 + 0 = 666.

It is a super-2 number, since 2×4640256902 = 430639681959952200, which contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 199635 + ... + 201945.

It is an arithmetic number, because the mean of its divisors is an integer number (13254696).

Almost surely, 2464025690 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 464025690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (636225408).

464025690 is an abundant number, since it is smaller than the sum of its proper divisors (808425126).

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

464025690 is a wasteful number, since it uses less digits than its factorization.

464025690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2444 (or 2441 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 464025690 is about 21541.2555344390. The cubic root of 464025690 is about 774.1896156235.

The spelling of 464025690 in words is "four hundred sixty-four million, twenty-five thousand, six hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 23 30 45 46 69 90 97 115 138 194 207 230 291 345 414 485 582 690 873 970 1035 1455 1746 2070 2231 2311 2910 4365 4462 4622 6693 6933 8730 11155 11555 13386 13866 20079 20799 22310 23110 33465 34665 40158 41598 53153 66930 69330 100395 103995 106306 159459 200790 207990 224167 265765 318918 448334 478377 531530 672501 797295 956754 1120835 1345002 1594590 2017503 2241670 2391885 3362505 4035006 4783770 5155841 6725010 10087515 10311682 15467523 20175030 25779205 30935046 46402569 51558410 77337615 92805138 154675230 232012845 464025690