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5575400 = 235261457
BaseRepresentation
bin10101010001001011101000
3101111021000022
4111101023220
52411403100
6315300012
765250545
oct25211350
911437008
105575400
113168976
121a4a608
13120296c
14a51bcc
15751e85
hex5512e8

5575400 has 48 divisors (see below), whose sum is σ = 13204140. Its totient is φ = 2188800.

The previous prime is 5575399. The next prime is 5575403. The reversal of 5575400 is 45755.

It can be written as a sum of positive squares in 6 ways, for example, as 1503076 + 4072324 = 1226^2 + 2018^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 5575400.

It is not an unprimeable number, because it can be changed into a prime (5575403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11972 + ... + 12428.

Almost surely, 25575400 is an apocalyptic number.

5575400 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 5575400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6602070).

5575400 is an abundant number, since it is smaller than the sum of its proper divisors (7628740).

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

5575400 is a wasteful number, since it uses less digits than its factorization.

5575400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 3500, while the sum is 26.

The square root of 5575400 is about 2361.2284938142. The cubic root of 5575400 is about 177.3203896307.

The spelling of 5575400 in words is "five million, five hundred seventy-five thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 61 100 122 200 244 305 457 488 610 914 1220 1525 1828 2285 2440 3050 3656 4570 6100 9140 11425 12200 18280 22850 27877 45700 55754 91400 111508 139385 223016 278770 557540 696925 1115080 1393850 2787700 5575400