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5636352 = 28341179
BaseRepresentation
bin10101100000000100000000
3101121100121210
4111200010000
52420330402
6320450120
765623341
oct25400400
911540553
105636352
1131aa747
121a79940
131224627
14a6a0c8
1576506c
hex560100

5636352 has 72 divisors (see below), whose sum is σ = 15452640. Its totient is φ = 1822720.

The previous prime is 5636291. The next prime is 5636359. The reversal of 5636352 is 2536365.

It is an Ulam number.

Its product of digits (16200) is a multiple of the sum of its prime divisors (225).

It is not an unprimeable number, because it can be changed into a prime (5636359) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31399 + ... + 31577.

It is an arithmetic number, because the mean of its divisors is an integer number (214620).

Almost surely, 25636352 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 5636352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7726320).

5636352 is an abundant number, since it is smaller than the sum of its proper divisors (9816288).

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

5636352 is a wasteful number, since it uses less digits than its factorization.

5636352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 225 counting only the distinct ones).

The product of its digits is 16200, while the sum is 30.

The square root of 5636352 is about 2374.1002506213. The cubic root of 5636352 is about 177.9642229151.

The spelling of 5636352 in words is "five million, six hundred thirty-six thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 82 96 123 128 164 179 192 246 256 328 358 384 492 537 656 716 768 984 1074 1312 1432 1968 2148 2624 2864 3936 4296 5248 5728 7339 7872 8592 10496 11456 14678 15744 17184 22017 22912 29356 31488 34368 44034 45824 58712 68736 88068 117424 137472 176136 234848 352272 469696 704544 939392 1409088 1878784 2818176 5636352