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52114624 = 262943653
BaseRepresentation
bin1100011011001…
…1010011000000
310122001200211021
43012303103000
5101320131444
65100555224
71201652452
oct306632300
9118050737
1052114624
1127465541
1215552b14
13aa48a73
146cc82d2
154896584
hex31b34c0

52114624 has 56 divisors (see below), whose sum is σ = 109636560. Its totient is φ = 24536064.

The previous prime is 52114613. The next prime is 52114637. The reversal of 52114624 is 42641125.

It is a happy number.

It is a super-2 number, since 2×521146242 = 5431868069322752, which contains 22 as substring.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 79482 + ... + 80134.

Almost surely, 252114624 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 52114624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54818280).

52114624 is an abundant number, since it is smaller than the sum of its proper divisors (57521936).

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

52114624 is a wasteful number, since it uses less digits than its factorization.

52114624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 737 (or 727 counting only the distinct ones).

The product of its digits is 1920, while the sum is 25.

The square root of 52114624 is about 7219.0459203416. The cubic root of 52114624 is about 373.5251678503.

Adding to 52114624 its reverse (42641125), we get a palindrome (94755749).

The spelling of 52114624 in words is "fifty-two million, one hundred fourteen thousand, six hundred twenty-four".

Divisors: 1 2 4 8 16 29 32 43 58 64 86 116 172 232 344 464 653 688 928 1247 1306 1376 1856 2494 2612 2752 4988 5224 9976 10448 18937 19952 20896 28079 37874 39904 41792 56158 75748 79808 112316 151496 224632 302992 449264 605984 814291 898528 1211968 1628582 1797056 3257164 6514328 13028656 26057312 52114624