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461650420 = 2257112910337
BaseRepresentation
bin11011100001000…
…011100111110100
31012011200021022201
4123201003213310
51421140303140
6113450434244
714303651410
oct3341034764
91164607281
10461650420
11217653880
1210a732984
137484883a
1445451d40
152a7e049a
hex1b8439f4

461650420 has 96 divisors (see below), whose sum is σ = 1250484480. Its totient is φ = 138915840.

The previous prime is 461650417. The next prime is 461650433. The reversal of 461650420 is 24056164.

It is a super-2 number, since 2×4616504202 = 426242220572352800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39492 + ... + 49828.

It is an arithmetic number, because the mean of its divisors is an integer number (13025880).

Almost surely, 2461650420 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 461650420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (625242240).

461650420 is an abundant number, since it is smaller than the sum of its proper divisors (788834060).

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

461650420 is a wasteful number, since it uses less digits than its factorization.

461650420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10393 (or 10391 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 461650420 is about 21486.0517545686. The cubic root of 461650420 is about 772.8663727862.

The spelling of 461650420 in words is "four hundred sixty-one million, six hundred fifty thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 29 35 44 55 58 70 77 110 116 140 145 154 203 220 290 308 319 385 406 580 638 770 812 1015 1276 1540 1595 2030 2233 3190 4060 4466 6380 8932 10337 11165 20674 22330 41348 44660 51685 72359 103370 113707 144718 206740 227414 289436 299773 361795 454828 568535 599546 723590 795949 1137070 1199092 1447180 1498865 1591898 2098411 2274140 2997730 3183796 3297503 3979745 4196822 5995460 6595006 7959490 8393644 10492055 13190012 15918980 16487515 20984110 23082521 32975030 41968220 46165042 65950060 92330084 115412605 230825210 461650420