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5557300 = 2252717467
BaseRepresentation
bin10101001100110000110100
3101110100011221
4111030300310
52410313200
6315040124
765144020
oct25146064
911410157
105557300
113156311
121a40044
1311c7658
14a49380
1574b91a
hex54cc34

5557300 has 72 divisors (see below), whose sum is σ = 14624064. Its totient is φ = 1789440.

The previous prime is 5557297. The next prime is 5557309. The reversal of 5557300 is 37555.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5557309) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11667 + ... + 12133.

It is an arithmetic number, because the mean of its divisors is an integer number (203112).

Almost surely, 25557300 is an apocalyptic number.

5557300 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 5557300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7312032).

5557300 is an abundant number, since it is smaller than the sum of its proper divisors (9066764).

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

5557300 is a wasteful number, since it uses less digits than its factorization.

5557300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 2625, while the sum is 25.

The square root of 5557300 is about 2357.3926274594. The cubic root of 5557300 is about 177.1282970789.

The spelling of 5557300 in words is "five million, five hundred fifty-seven thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 17 20 25 28 34 35 50 68 70 85 100 119 140 170 175 238 340 350 425 467 476 595 700 850 934 1190 1700 1868 2335 2380 2975 3269 4670 5950 6538 7939 9340 11675 11900 13076 15878 16345 23350 31756 32690 39695 46700 55573 65380 79390 81725 111146 158780 163450 198475 222292 277865 326900 396950 555730 793900 1111460 1389325 2778650 5557300