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5409475600 = 2452109312373
BaseRepresentation
bin1010000100110111…
…00000110000010000
3111221222212211111011
411002123200300100
542034311204400
62252435500304
7251023532614
oct50233406020
914858784434
105409475600
1123265650a1
12106b757694
1368293a149
14394611344
15219d8c8ba
hex1426e0c10

5409475600 has 60 divisors (see below), whose sum is σ = 13009206916. Its totient is φ = 2161635840.

The previous prime is 5409475583. The next prime is 5409475601. The reversal of 5409475600 is 65749045.

It can be written as a sum of positive squares in 6 ways, for example, as 204718864 + 5204756736 = 14308^2 + 72144^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (5409475601) 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, 431014 + ... + 443386.

Almost surely, 25409475600 is an apocalyptic number.

5409475600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5409475600 is an abundant number, since it is smaller than the sum of its proper divisors (7599731316).

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

5409475600 is a wasteful number, since it uses less digits than its factorization.

5409475600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13484 (or 13473 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 40.

The square root of 5409475600 is about 73549.1373164907. The cubic root of 5409475600 is about 1755.4362218967.

The spelling of 5409475600 in words is "five billion, four hundred nine million, four hundred seventy-five thousand, six hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 1093 2186 4372 5465 8744 10930 12373 17488 21860 24746 27325 43720 49492 54650 61865 87440 98984 109300 123730 197968 218600 247460 309325 437200 494920 618650 989840 1237300 2474600 4949200 13523689 27047378 54094756 67618445 108189512 135236890 216379024 270473780 338092225 540947560 676184450 1081895120 1352368900 2704737800 5409475600