Search a number
-
+
454452040 = 23572955967
BaseRepresentation
bin11011000101100…
…110001101001000
31011200010120000001
4123011212031020
51412314431130
6113032252344
714155531030
oct3305461510
91150116001
10454452040
112135875a9
121082410b4
13731c8243
14444da8c0
1529d6c6ca
hex1b166348

454452040 has 64 divisors (see below), whose sum is σ = 1208908800. Its totient is φ = 150436608.

The previous prime is 454452023. The next prime is 454452059. The reversal of 454452040 is 40254454.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19864 + ... + 36103.

It is an arithmetic number, because the mean of its divisors is an integer number (18889200).

Almost surely, 2454452040 is an apocalyptic number.

454452040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

454452040 is an abundant number, since it is smaller than the sum of its proper divisors (754456760).

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

454452040 is a wasteful number, since it uses less digits than its factorization.

454452040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56014 (or 56010 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 28.

The square root of 454452040 is about 21317.8807577114. The cubic root of 454452040 is about 768.8282847987.

The spelling of 454452040 in words is "four hundred fifty-four million, four hundred fifty-two thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 29 35 40 56 58 70 116 140 145 203 232 280 290 406 580 812 1015 1160 1624 2030 4060 8120 55967 111934 223868 279835 391769 447736 559670 783538 1119340 1567076 1623043 1958845 2238680 3134152 3246086 3917690 6492172 7835380 8115215 11361301 12984344 15670760 16230430 22722602 32460860 45445204 56806505 64921720 90890408 113613010 227226020 454452040