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5290272 = 253413157
BaseRepresentation
bin10100001011100100100000
3100221202220000
4110023210200
52323242042
6305220000
762652351
oct24134440
910852800
105290272
112a93729
121931600
131132c50
149b9d28
156e774c
hex50b920

5290272 has 120 divisors (see below), whose sum is σ = 16862076. Its totient is φ = 1617408.

The previous prime is 5290231. The next prime is 5290277. The reversal of 5290272 is 2720925.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 4822416 + 467856 = 2196^2 + 684^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (5290277) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 33618 + ... + 33774.

Almost surely, 25290272 is an apocalyptic number.

5290272 is a gapful number since it is divisible by the number (52) 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 5290272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8431038).

5290272 is an abundant number, since it is smaller than the sum of its proper divisors (11571804).

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

5290272 is a wasteful number, since it uses less digits than its factorization.

5290272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 5290272 is about 2300.0591296747. The cubic root of 5290272 is about 174.2446024784.

The spelling of 5290272 in words is "five million, two hundred ninety thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 72 78 81 96 104 108 117 144 156 157 162 208 216 234 288 312 314 324 351 416 432 468 471 624 628 648 702 864 936 942 1053 1248 1256 1296 1404 1413 1872 1884 2041 2106 2512 2592 2808 2826 3744 3768 4082 4212 4239 5024 5616 5652 6123 7536 8164 8424 8478 11232 11304 12246 12717 15072 16328 16848 16956 18369 22608 24492 25434 32656 33696 33912 36738 45216 48984 50868 55107 65312 67824 73476 97968 101736 110214 135648 146952 165321 195936 203472 220428 293904 330642 406944 440856 587808 661284 881712 1322568 1763424 2645136 5290272