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5292100 = 22521117283
BaseRepresentation
bin10100001100000001000100
3100221212101201
4110030001010
52323321400
6305232244
762660602
oct24140104
910855351
105292100
112a95040
121932684
131133a28
149ba872
156e806a
hex50c044

5292100 has 72 divisors (see below), whose sum is σ = 13311648. Its totient is φ = 1804800.

The previous prime is 5292071. The next prime is 5292107. The reversal of 5292100 is 12925.

It is not an unprimeable number, because it can be changed into a prime (5292107) 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, 18559 + ... + 18841.

It is an arithmetic number, because the mean of its divisors is an integer number (184884).

Almost surely, 25292100 is an apocalyptic number.

5292100 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 5292100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6655824).

5292100 is an abundant number, since it is smaller than the sum of its proper divisors (8019548).

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

5292100 is a wasteful number, since it uses less digits than its factorization.

5292100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 19.

The square root of 5292100 is about 2300.4564764411. The cubic root of 5292100 is about 174.2646696541.

The spelling of 5292100 in words is "five million, two hundred ninety-two thousand, one hundred".

Divisors: 1 2 4 5 10 11 17 20 22 25 34 44 50 55 68 85 100 110 170 187 220 275 283 340 374 425 550 566 748 850 935 1100 1132 1415 1700 1870 2830 3113 3740 4675 4811 5660 6226 7075 9350 9622 12452 14150 15565 18700 19244 24055 28300 31130 48110 52921 62260 77825 96220 105842 120275 155650 211684 240550 264605 311300 481100 529210 1058420 1323025 2646050 5292100