Search a number
-
+
452574136 = 237174311103
BaseRepresentation
bin11010111110011…
…011101110111000
31011112121011000001
4122332123232320
51411324333021
6112524122344
714133550060
oct3276335670
91145534001
10452574136
11212514713
121076963b4
13729bb561
144416c3a0
1529aeb091
hex1af9bbb8

452574136 has 64 divisors (see below), whose sum is σ = 1030164480. Its totient is φ = 181962240.

The previous prime is 452574127. The next prime is 452574149. The reversal of 452574136 is 631475254.

It is a super-2 number, since 2×4525741362 = 409646697152292992, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 452574095 and 452574104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 409761 + ... + 410863.

It is an arithmetic number, because the mean of its divisors is an integer number (16096320).

Almost surely, 2452574136 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 452574136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515082240).

452574136 is an abundant number, since it is smaller than the sum of its proper divisors (577590344).

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

452574136 is a wasteful number, since it uses less digits than its factorization.

452574136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1564 (or 1560 counting only the distinct ones).

The product of its digits is 100800, while the sum is 37.

The square root of 452574136 is about 21273.7898833283. The cubic root of 452574136 is about 767.7678289451.

The spelling of 452574136 in words is "four hundred fifty-two million, five hundred seventy-four thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 14 17 28 34 56 68 119 136 238 431 476 862 952 1103 1724 2206 3017 3448 4412 6034 7327 7721 8824 12068 14654 15442 18751 24136 29308 30884 37502 51289 58616 61768 75004 102578 131257 150008 205156 262514 410312 475393 525028 950786 1050056 1901572 3327751 3803144 6655502 8081681 13311004 16163362 26622008 32326724 56571767 64653448 113143534 226287068 452574136