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5732900 = 225257329
BaseRepresentation
bin10101110111101000100100
3101210021001122
4111313220210
52431423100
6322513112
766504665
oct25675044
911707048
105732900
113266238
121b05798
131259564
14a9336c
15783985
hex577a24

5732900 has 18 divisors (see below), whose sum is σ = 12440610. Its totient is φ = 2293120.

The previous prime is 5732869. The next prime is 5732917. The reversal of 5732900 is 92375.

5732900 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 11236 + 5721664 = 106^2 + 2392^2 .

It is a super-2 number, since 2×57329002 = 65732284820000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 5732900.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 28565 + ... + 28764.

It is an arithmetic number, because the mean of its divisors is an integer number (691145).

Almost surely, 25732900 is an apocalyptic number.

5732900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5732900 is an abundant number, since it is smaller than the sum of its proper divisors (6707710).

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

5732900 is a wasteful number, since it uses less digits than its factorization.

5732900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57343 (or 57336 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 26.

The square root of 5732900 is about 2394.3475102833. The cubic root of 5732900 is about 178.9746226625.

The spelling of 5732900 in words is "five million, seven hundred thirty-two thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 57329 114658 229316 286645 573290 1146580 1433225 2866450 5732900