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5626152 = 23337612
BaseRepresentation
bin10101011101100100101000
3101120211122000
4111131210220
52420014102
6320331000
765551530
oct25354450
911524560
105626152
1131a3014
121a73a60
13121caac
14a664c0
1576201c
hex55d928

5626152 has 96 divisors (see below), whose sum is σ = 18158400. Its totient is φ = 1581120.

The previous prime is 5626151. The next prime is 5626171. The reversal of 5626152 is 2516265.

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

Its product of digits (3600) is a multiple of the sum of its prime factors (144).

It is not an unprimeable number, because it can be changed into a prime (5626151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 92202 + ... + 92262.

It is an arithmetic number, because the mean of its divisors is an integer number (189150).

Almost surely, 25626152 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 5626152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9079200).

5626152 is an abundant number, since it is smaller than the sum of its proper divisors (12532248).

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

5626152 is a wasteful number, since it uses less digits than its factorization.

5626152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 73 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

The square root of 5626152 is about 2371.9510956173. The cubic root of 5626152 is about 177.8568052583.

It can be divided in two parts, 5626 and 152, that added together give a triangular number (5778 = T107).

The spelling of 5626152 in words is "five million, six hundred twenty-six thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 61 63 72 84 108 122 126 168 183 189 216 244 252 366 378 427 488 504 549 732 756 854 1098 1281 1464 1512 1647 1708 2196 2562 3294 3416 3721 3843 4392 5124 6588 7442 7686 10248 11163 11529 13176 14884 15372 22326 23058 26047 29768 30744 33489 44652 46116 52094 66978 78141 89304 92232 100467 104188 133956 156282 200934 208376 234423 267912 312564 401868 468846 625128 703269 803736 937692 1406538 1875384 2813076 5626152