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460921981 = 1323197907
BaseRepresentation
bin11011011110010…
…001110001111101
31012010022021002111
4123132101301331
51420444000411
6113423054021
714264525602
oct3336216175
91163267074
10460921981
112171a6563
1210a441311
1374652100
14453026a9
152a6e9721
hex1b791c7d

460921981 has 24 divisors (see below), whose sum is σ = 521090304. Its totient is φ = 407047680.

The previous prime is 460921961. The next prime is 460922023. The reversal of 460921981 is 189129064.

It is a de Polignac number, because none of the positive numbers 2k-460921981 is a prime.

It is a super-2 number, since 2×4609219812 = 424898145137928722, which contains 22 as substring.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (460921921) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 507730 + ... + 508636.

It is an arithmetic number, because the mean of its divisors is an integer number (21712096).

Almost surely, 2460921981 is an apocalyptic number.

It is an amenable number.

460921981 is a deficient number, since it is larger than the sum of its proper divisors (60168323).

460921981 is a wasteful number, since it uses less digits than its factorization.

460921981 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1061 (or 1048 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 40.

The square root of 460921981 is about 21469.0936231598. The cubic root of 460921981 is about 772.4596563941.

The spelling of 460921981 in words is "four hundred sixty million, nine hundred twenty-one thousand, nine hundred eighty-one".

Divisors: 1 13 31 97 169 403 907 1261 3007 5239 11791 16393 28117 39091 87979 153283 365521 508183 1143727 2727349 4751773 14868451 35455537 460921981