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5278100 = 2252471123
BaseRepresentation
bin10100001000100110010100
3100221011012012
4110020212110
52322344400
6305043352
762602022
oct24104624
910834165
105278100
112a85573
121926558
13112a549
149b5712
156e3d35
hex508994

5278100 has 36 divisors (see below), whose sum is σ = 11707584. Its totient is φ = 2064480.

The previous prime is 5278099. The next prime is 5278127. The reversal of 5278100 is 18725.

It is a super-2 number, since 2×52781002 = 55716679220000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4139 + ... + 5261.

Almost surely, 25278100 is an apocalyptic number.

5278100 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 5278100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5853792).

5278100 is an abundant number, since it is smaller than the sum of its proper divisors (6429484).

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

5278100 is a wasteful number, since it uses less digits than its factorization.

5278100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1184 (or 1177 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 23.

The square root of 5278100 is about 2297.4115869822. The cubic root of 5278100 is about 174.1108643017.

The spelling of 5278100 in words is "five million, two hundred seventy-eight thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 47 50 94 100 188 235 470 940 1123 1175 2246 2350 4492 4700 5615 11230 22460 28075 52781 56150 105562 112300 211124 263905 527810 1055620 1319525 2639050 5278100