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5157828 = 223213103107
BaseRepresentation
bin10011101011001111000100
3100201001012200
4103223033010
52310022303
6302314500
761561254
oct23531704
910631180
105157828
112a03175
121888a30
1310b7890
14983964
156bd3a3
hex4eb3c4

5157828 has 72 divisors (see below), whose sum is σ = 14309568. Its totient is φ = 1556928.

The previous prime is 5157821. The next prime is 5157829. The reversal of 5157828 is 8287515.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 5157792 and 5157801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5157821) 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, 48151 + ... + 48257.

It is an arithmetic number, because the mean of its divisors is an integer number (198744).

Almost surely, 25157828 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5157828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7154784).

5157828 is an abundant number, since it is smaller than the sum of its proper divisors (9151740).

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

5157828 is a wasteful number, since it uses less digits than its factorization.

5157828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 228 counting only the distinct ones).

The product of its digits is 22400, while the sum is 36.

The square root of 5157828 is about 2271.0852031573. The cubic root of 5157828 is about 172.7782026261.

The spelling of 5157828 in words is "five million, one hundred fifty-seven thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 103 107 117 156 206 214 234 309 321 412 428 468 618 642 927 963 1236 1284 1339 1391 1854 1926 2678 2782 3708 3852 4017 4173 5356 5564 8034 8346 11021 12051 12519 16068 16692 22042 24102 25038 33063 44084 48204 50076 66126 99189 132252 143273 198378 286546 396756 429819 573092 859638 1289457 1719276 2578914 5157828