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461020096 = 26233110103
BaseRepresentation
bin11011011110101…
…001101111000000
31012010111020200101
4123132221233000
51421010120341
6113425132144
714265414625
oct3336515700
91163436611
10461020096
11217263249
1210a48a054
1374687974
144532a34c
152a718831
hex1b7a9bc0

461020096 has 56 divisors (see below), whose sum is σ = 985503744. Its totient is φ = 213354240.

The previous prime is 461020067. The next prime is 461020103. The reversal of 461020096 is 690020164.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40581 + ... + 50683.

Almost surely, 2461020096 is an apocalyptic number.

461020096 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 461020096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492751872).

461020096 is an abundant number, since it is smaller than the sum of its proper divisors (524483648).

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

461020096 is a wasteful number, since it uses less digits than its factorization.

461020096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10169 (or 10159 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 461020096 is about 21471.3785304996. The cubic root of 461020096 is about 772.5144628510.

The spelling of 461020096 in words is "four hundred sixty-one million, twenty thousand, ninety-six".

Divisors: 1 2 4 8 16 23 31 32 46 62 64 92 124 184 248 368 496 713 736 992 1426 1472 1984 2852 5704 10103 11408 20206 22816 40412 45632 80824 161648 232369 313193 323296 464738 626386 646592 929476 1252772 1858952 2505544 3717904 5011088 7203439 7435808 10022176 14406878 14871616 20044352 28813756 57627512 115255024 230510048 461020096