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5594400 = 253352737
BaseRepresentation
bin10101010101110100100000
3101112020002000
4111111310200
52413010100
6315524000
765360130
oct25256440
911466060
105594400
113181179
121a59600
13120b4c6
14a58ac0
15757900
hex555d20

5594400 has 288 divisors, whose sum is σ = 23748480. Its totient is φ = 1244160.

The previous prime is 5594389. The next prime is 5594423. The reversal of 5594400 is 44955.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×55944002 = 62594622720000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 151182 + ... + 151218.

It is an arithmetic number, because the mean of its divisors is an integer number (82460).

Almost surely, 25594400 is an apocalyptic number.

5594400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5594400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11874240).

5594400 is an abundant number, since it is smaller than the sum of its proper divisors (18154080).

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

5594400 is a wasteful number, since it uses less digits than its factorization.

5594400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 5594400 is about 2365.2484013312. The cubic root of 5594400 is about 177.5215870062.

The spelling of 5594400 in words is "five million, five hundred ninety-four thousand, four hundred".