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52649344 = 271161613
BaseRepresentation
bin1100100011010…
…1110110000000
310200001212022201
43020311312000
5101434234334
65120242544
71206340426
oct310656600
9120055281
1052649344
11277a0260
1215770454
13aba5277
146dc7116
15494ec14
hex3235d80

52649344 has 64 divisors (see below), whose sum is σ = 116488080. Its totient is φ = 23500800.

The previous prime is 52649287. The next prime is 52649347. The reversal of 52649344 is 44394625.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52649347) 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 7 ways as a sum of consecutive naturals, for example, 85582 + ... + 86194.

Almost surely, 252649344 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 52649344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58244040).

52649344 is an abundant number, since it is smaller than the sum of its proper divisors (63838736).

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

52649344 is a wasteful number, since it uses less digits than its factorization.

52649344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 699 (or 687 counting only the distinct ones).

The product of its digits is 103680, while the sum is 37.

The square root of 52649344 is about 7255.9867695579. The cubic root of 52649344 is about 374.7983366081.

The spelling of 52649344 in words is "fifty-two million, six hundred forty-nine thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 44 61 64 88 122 128 176 244 352 488 613 671 704 976 1226 1342 1408 1952 2452 2684 3904 4904 5368 6743 7808 9808 10736 13486 19616 21472 26972 37393 39232 42944 53944 74786 78464 85888 107888 149572 215776 299144 411323 431552 598288 822646 863104 1196576 1645292 2393152 3290584 4786304 6581168 13162336 26324672 52649344