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461256036 = 223177928621
BaseRepresentation
bin11011011111100…
…011010101100100
31012010221020022220
4123133203111210
51421040143121
6113434152340
714300416533
oct3337432544
91163836286
10461256036
1121740453a
1210a5826b0
137473b187
144538c31a
152a7636c6
hex1b7e3564

461256036 has 48 divisors (see below), whose sum is σ = 1154039040. Its totient is φ = 142871040.

The previous prime is 461256031. The next prime is 461256043. The reversal of 461256036 is 630652164.

It is a junction number, because it is equal to n+sod(n) for n = 461255988 and 461256006.

It is not an unprimeable number, because it can be changed into a prime (461256031) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1806 + ... + 30426.

It is an arithmetic number, because the mean of its divisors is an integer number (24042480).

Almost surely, 2461256036 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 461256036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577019520).

461256036 is an abundant number, since it is smaller than the sum of its proper divisors (692783004).

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

461256036 is a wasteful number, since it uses less digits than its factorization.

461256036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28724 (or 28722 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 461256036 is about 21476.8721186303. The cubic root of 461256036 is about 772.6462257101.

The spelling of 461256036 in words is "four hundred sixty-one million, two hundred fifty-six thousand, thirty-six".

Divisors: 1 2 3 4 6 12 17 34 51 68 79 102 158 204 237 316 474 948 1343 2686 4029 5372 8058 16116 28621 57242 85863 114484 171726 343452 486557 973114 1459671 1946228 2261059 2919342 4522118 5838684 6783177 9044236 13566354 27132708 38438003 76876006 115314009 153752012 230628018 461256036