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4536252 = 2232747383
BaseRepresentation
bin10001010011011110111100
322112110120100
4101103132330
52130130002
6241121100
753362140
oct21233674
98473510
104536252
112619176
121629190
13c2a996
14861220
155e911c
hex4537bc

4536252 has 72 divisors (see below), whose sum is σ = 13418496. Its totient is φ = 1265184.

The previous prime is 4536179. The next prime is 4536283. The reversal of 4536252 is 2526354.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 11653 + ... + 12035.

It is an arithmetic number, because the mean of its divisors is an integer number (186368).

Almost surely, 24536252 is an apocalyptic number.

4536252 is a gapful number since it is divisible by the number (42) 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 4536252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6709248).

4536252 is an abundant number, since it is smaller than the sum of its proper divisors (8882244).

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

4536252 is a wasteful number, since it uses less digits than its factorization.

4536252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447 (or 442 counting only the distinct ones).

The product of its digits is 7200, while the sum is 27.

The square root of 4536252 is about 2129.8478818920. The cubic root of 4536252 is about 165.5385159974.

The spelling of 4536252 in words is "four million, five hundred thirty-six thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 47 63 84 94 126 141 188 252 282 329 383 423 564 658 766 846 987 1149 1316 1532 1692 1974 2298 2681 2961 3447 3948 4596 5362 5922 6894 8043 10724 11844 13788 16086 18001 24129 32172 36002 48258 54003 72004 96516 108006 126007 162009 216012 252014 324018 378021 504028 648036 756042 1134063 1512084 2268126 4536252