Search a number
-
+
45480900 = 22352151603
BaseRepresentation
bin1010110101111…
…1101111000100
310011120200001210
42231133233010
543120342100
64302451420
71061403243
oct255375704
9104520053
1045480900
1123744523
1213293b70
13956549a
14607c95a
153ed5c50
hex2b5fbc4

45480900 has 36 divisors (see below), whose sum is σ = 131592272. Its totient is φ = 12128160.

The previous prime is 45480893. The next prime is 45480923. The reversal of 45480900 is 908454.

It is a super-3 number, since 3×454809003 (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 75502 + ... + 76101.

Almost surely, 245480900 is an apocalyptic number.

It is an amenable number.

45480900 is an abundant number, since it is smaller than the sum of its proper divisors (86111372).

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

45480900 is a wasteful number, since it uses less digits than its factorization.

45480900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151620 (or 151613 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 45480900 is about 6743.9528468102. The cubic root of 45480900 is about 356.9518879996.

The spelling of 45480900 in words is "forty-five million, four hundred eighty thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 151603 303206 454809 606412 758015 909618 1516030 1819236 2274045 3032060 3790075 4548090 7580150 9096180 11370225 15160300 22740450 45480900