Search a number
-
+
5602272 = 25313672
BaseRepresentation
bin10101010111101111100000
3101112121212120
4111113233200
52413233042
6320024240
765422104
oct25275740
911477776
105602272
113187085
121a62080
131211c70
14a5b904
15759dec
hex557be0

5602272 has 72 divisors (see below), whose sum is σ = 16077096. Its totient is φ = 1698048.

The previous prime is 5602253. The next prime is 5602277. The reversal of 5602272 is 2722065.

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 (5602277) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 83583 + ... + 83649.

It is an arithmetic number, because the mean of its divisors is an integer number (223293).

Almost surely, 25602272 is an apocalyptic number.

5602272 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 5602272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8038548).

5602272 is an abundant number, since it is smaller than the sum of its proper divisors (10474824).

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

5602272 is a wasteful number, since it uses less digits than its factorization.

5602272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 5602272 is about 2366.9119121759. The cubic root of 5602272 is about 177.6048127906.

The spelling of 5602272 in words is "five million, six hundred two thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 67 78 96 104 134 156 201 208 268 312 402 416 536 624 804 871 1072 1248 1608 1742 2144 2613 3216 3484 4489 5226 6432 6968 8978 10452 13467 13936 17956 20904 26934 27872 35912 41808 53868 58357 71824 83616 107736 116714 143648 175071 215472 233428 350142 430944 466856 700284 933712 1400568 1867424 2801136 5602272