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5295136 = 257211307
BaseRepresentation
bin10100001100110000100000
3100222000120011
4110030300200
52323421021
6305254304
763002500
oct24146040
910860504
105295136
112a97350
121934394
131135222
149bba00
156e8de1
hex50cc20

5295136 has 72 divisors (see below), whose sum is σ = 13272336. Its totient is φ = 2056320.

The previous prime is 5295131. The next prime is 5295137. The reversal of 5295136 is 6315925.

It is a junction number, because it is equal to n+sod(n) for n = 5295098 and 5295107.

It is not an unprimeable number, because it can be changed into a prime (5295131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17095 + ... + 17401.

It is an arithmetic number, because the mean of its divisors is an integer number (184338).

Almost surely, 25295136 is an apocalyptic number.

5295136 is a gapful number since it is divisible by the number (56) 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 5295136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6636168).

5295136 is an abundant number, since it is smaller than the sum of its proper divisors (7977200).

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

5295136 is a wasteful number, since it uses less digits than its factorization.

5295136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 327 counting only the distinct ones).

The product of its digits is 8100, while the sum is 31.

The square root of 5295136 is about 2301.1162508661. The cubic root of 5295136 is about 174.2979876436.

It can be divided in two parts, 529 and 5136, that added together give a palindrome (5665).

The spelling of 5295136 in words is "five million, two hundred ninety-five thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 49 56 77 88 98 112 154 176 196 224 307 308 352 392 539 614 616 784 1078 1228 1232 1568 2149 2156 2456 2464 3377 4298 4312 4912 6754 8596 8624 9824 13508 15043 17192 17248 23639 27016 30086 34384 47278 54032 60172 68768 94556 108064 120344 165473 189112 240688 330946 378224 481376 661892 756448 1323784 2647568 5295136