Search a number
-
+
45654804 = 22321397553
BaseRepresentation
bin1010111000101…
…0001100010100
310011220111121200
42232022030110
543141423204
64310312500
71063026246
oct256121424
9104814550
1045654804
1123853148
1213358730
1395c66a0
1460c6096
15401c539
hex2b8a314

45654804 has 36 divisors (see below), whose sum is σ = 124283796. Its totient is φ = 14047488.

The previous prime is 45654803. The next prime is 45654821. The reversal of 45654804 is 40845654.

It can be written as a sum of positive squares in 2 ways, for example, as 2883204 + 42771600 = 1698^2 + 6540^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×456548042 = 4168722256556832, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45654803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 48309 + ... + 49244.

Almost surely, 245654804 is an apocalyptic number.

It is an amenable number.

45654804 is an abundant number, since it is smaller than the sum of its proper divisors (78628992).

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

45654804 is a wasteful number, since it uses less digits than its factorization.

45654804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97576 (or 97571 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 45654804 is about 6756.8338739383. The cubic root of 45654804 is about 357.4062648933.

The spelling of 45654804 in words is "forty-five million, six hundred fifty-four thousand, eight hundred four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 97553 195106 292659 390212 585318 877977 1170636 1268189 1755954 2536378 3511908 3804567 5072756 7609134 11413701 15218268 22827402 45654804