Search a number
-
+
452874960 = 24325628993
BaseRepresentation
bin11010111111100…
…101001011010000
31011120011102122200
4122333211023100
51411413444320
6112534403200
714136242106
oct3277451320
91146142580
10452874960
112126aa72a
12107800500
1372a95465
1444209c76
1529b5a290
hex1afe52d0

452874960 has 60 divisors (see below), whose sum is σ = 1520907492. Its totient is φ = 120766464.

The previous prime is 452874953. The next prime is 452875057. The reversal of 452874960 is 69478254.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 356756544 + 96118416 = 18888^2 + 9804^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 313777 + ... + 315216.

Almost surely, 2452874960 is an apocalyptic number.

452874960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

452874960 is an abundant number, since it is smaller than the sum of its proper divisors (1068032532).

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

452874960 is a wasteful number, since it uses less digits than its factorization.

452874960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 629012 (or 629003 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 452874960 is about 21280.8590052188. The cubic root of 452874960 is about 767.9379018801.

The spelling of 452874960 in words is "four hundred fifty-two million, eight hundred seventy-four thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 628993 1257986 1886979 2515972 3144965 3773958 5031944 5660937 6289930 7547916 9434895 10063888 11321874 12579860 15095832 18869790 22643748 25159720 28304685 30191664 37739580 45287496 50319440 56609370 75479160 90574992 113218740 150958320 226437480 452874960