Search a number
-
+
464861236 = 22725961659
BaseRepresentation
bin11011101101010…
…011100000110100
31012101201101201211
4123231103200310
51423001024421
6114043331204
714343153400
oct3355234064
91171641654
10464861236
11219447144
1210b820b04
1375401128
1445a4a100
152ac269e1
hex1bb53834

464861236 has 72 divisors (see below), whose sum is σ = 979624800. Its totient is φ = 192346560.

The previous prime is 464861233. The next prime is 464861237. The reversal of 464861236 is 632168464.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (464861231) 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, 705075 + ... + 705733.

It is an arithmetic number, because the mean of its divisors is an integer number (13605900).

Almost surely, 2464861236 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 464861236, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489812400).

464861236 is an abundant number, since it is smaller than the sum of its proper divisors (514763564).

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

464861236 is a wasteful number, since it uses less digits than its factorization.

464861236 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 797 (or 788 counting only the distinct ones).

The product of its digits is 165888, while the sum is 40.

The square root of 464861236 is about 21560.6408995651. The cubic root of 464861236 is about 774.6540174706.

The spelling of 464861236 in words is "four hundred sixty-four million, eight hundred sixty-one thousand, two hundred thirty-six".

Divisors: 1 2 4 7 14 28 49 59 61 98 118 122 196 236 244 413 427 659 826 854 1318 1652 1708 2636 2891 2989 3599 4613 5782 5978 7198 9226 11564 11956 14396 18452 25193 32291 38881 40199 50386 64582 77762 80398 100772 129164 155524 160796 176351 272167 281393 352702 544334 562786 705404 1088668 1125572 1905169 1969751 2371741 3810338 3939502 4743482 7620676 7879004 9486964 16602187 33204374 66408748 116215309 232430618 464861236