Search a number
-
+
467820036 = 22343973637
BaseRepresentation
bin11011111000100…
…101111000000100
31012121021201110000
4123320211320010
51424230220121
6114231001300
714410255545
oct3370457004
91177251400
10467820036
11220088132
12110809230
1375bc8ab8
14461ba4cc
152b10d526
hex1be25e04

467820036 has 60 divisors (see below), whose sum is σ = 1226391628. Its totient is φ = 155504448.

The previous prime is 467820019. The next prime is 467820047. The reversal of 467820036 is 630028764.

It can be written as a sum of positive squares in 2 ways, for example, as 132710400 + 335109636 = 11520^2 + 18306^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 126810 + ... + 130446.

Almost surely, 2467820036 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 467820036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (613195814).

467820036 is an abundant number, since it is smaller than the sum of its proper divisors (758571592).

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

467820036 is a wasteful number, since it uses less digits than its factorization.

467820036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4050 (or 4039 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 467820036 is about 21629.1478334215. The cubic root of 467820036 is about 776.2940771723.

The spelling of 467820036 in words is "four hundred sixty-seven million, eight hundred twenty thousand, thirty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 397 794 1191 1588 2382 3573 3637 4764 7146 7274 10719 10911 14292 14548 21438 21822 32157 32733 42876 43644 64314 65466 98199 128628 130932 196398 294597 392796 589194 1178388 1443889 2887778 4331667 5775556 8663334 12995001 17326668 25990002 38985003 51980004 77970006 116955009 155940012 233910018 467820036