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5557400 = 235237751
BaseRepresentation
bin10101001100110010011000
3101110100022122
4111030302120
52410314100
6315040412
765144222
oct25146230
911410278
105557400
1131563a2
121a40108
1311c7704
14a49412
1574b985
hex54cc98

5557400 has 48 divisors (see below), whose sum is σ = 13287840. Its totient is φ = 2160000.

The previous prime is 5557399. The next prime is 5557403. The reversal of 5557400 is 47555.

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 5557400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5557403) 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, 7025 + ... + 7775.

It is an arithmetic number, because the mean of its divisors is an integer number (276830).

Almost surely, 25557400 is an apocalyptic number.

5557400 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 5557400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6643920).

5557400 is an abundant number, since it is smaller than the sum of its proper divisors (7730440).

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

5557400 is a wasteful number, since it uses less digits than its factorization.

5557400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 804 (or 795 counting only the distinct ones).

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

The square root of 5557400 is about 2357.4138372377. The cubic root of 5557400 is about 177.1293595087.

The spelling of 5557400 in words is "five million, five hundred fifty-seven thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 37 40 50 74 100 148 185 200 296 370 740 751 925 1480 1502 1850 3004 3700 3755 6008 7400 7510 15020 18775 27787 30040 37550 55574 75100 111148 138935 150200 222296 277870 555740 694675 1111480 1389350 2778700 5557400