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461084052 = 2231121321879
BaseRepresentation
bin11011011110111…
…001010110010100
31012010121111102010
4123132321112110
51421014142202
6113430344220
714266102242
oct3336712624
91163544363
10461084052
112172a7300
1210a4bb070
13746aab00
1445345792
152a72c76c
hex1b7b9594

461084052 has 108 divisors (see below), whose sum is σ = 1281204960. Its totient is φ = 128905920.

The previous prime is 461084033. The next prime is 461084083. The reversal of 461084052 is 250480164.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 244449 + ... + 246327.

Almost surely, 2461084052 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 461084052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (640602480).

461084052 is an abundant number, since it is smaller than the sum of its proper divisors (820120908).

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

461084052 is a wasteful number, since it uses less digits than its factorization.

461084052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1934 (or 1908 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 461084052 is about 21472.8678103322. The cubic root of 461084052 is about 772.5501841069.

The spelling of 461084052 in words is "four hundred sixty-one million, eighty-four thousand, fifty-two".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 52 66 78 121 132 143 156 169 242 286 338 363 429 484 507 572 676 726 858 1014 1452 1573 1716 1859 1879 2028 3146 3718 3758 4719 5577 5637 6292 7436 7516 9438 11154 11274 18876 20449 20669 22308 22548 24427 40898 41338 48854 61347 62007 73281 81796 82676 97708 122694 124014 146562 227359 245388 248028 268697 293124 317551 454718 537394 635102 682077 806091 909436 952653 1074788 1270204 1364154 1612182 1905306 2728308 2955667 3224364 3493061 3810612 5911334 6986122 8867001 10479183 11822668 13972244 17734002 20958366 35468004 38423671 41916732 76847342 115271013 153694684 230542026 461084052