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5156304 = 243177189
BaseRepresentation
bin10011101010110111010000
3100200222010020
4103222313100
52310000204
6302303440
761553646
oct23526720
910628106
105156304
112a0200a
121887b80
1310b6c8a
14983196
156bcbd9
hex4eadd0

5156304 has 80 divisors (see below), whose sum is σ = 14463360. Its totient is φ = 1576960.

The previous prime is 5156299. The next prime is 5156309. The reversal of 5156304 is 4036515.

5156304 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (5156299) and next prime (5156309).

It is a super-4 number, since 4×51563044 (a number of 28 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5156309) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57892 + ... + 57980.

It is an arithmetic number, because the mean of its divisors is an integer number (180792).

Almost surely, 25156304 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 5156304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7231680).

5156304 is an abundant number, since it is smaller than the sum of its proper divisors (9307056).

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

5156304 is a wasteful number, since it uses less digits than its factorization.

5156304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 5156304 is about 2270.7496559507. The cubic root of 5156304 is about 172.7611838397.

It can be divided in two parts, 5156 and 304, that added together give a triangular number (5460 = T104).

The spelling of 5156304 in words is "five million, one hundred fifty-six thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 71 89 102 136 142 178 204 213 267 272 284 356 408 426 534 568 712 816 852 1068 1136 1207 1424 1513 1704 2136 2414 3026 3408 3621 4272 4539 4828 6052 6319 7242 9078 9656 12104 12638 14484 18156 18957 19312 24208 25276 28968 36312 37914 50552 57936 72624 75828 101104 107423 151656 214846 303312 322269 429692 644538 859384 1289076 1718768 2578152 5156304