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52277568 = 263797401
BaseRepresentation
bin1100011101101…
…1000101000000
310122100222100020
43013123011000
5101340340233
65104253440
71203231510
oct307330500
9118328306
1052277568
1127566a02
1215611280
13aaa4c95
146d2b840
1548c99b3
hex31db140

52277568 has 112 divisors (see below), whose sum is σ = 160105344. Its totient is φ = 14745600.

The previous prime is 52277509. The next prime is 52277579. The reversal of 52277568 is 86577225.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 130168 + ... + 130568.

It is an arithmetic number, because the mean of its divisors is an integer number (1429512).

Almost surely, 252277568 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 52277568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80052672).

52277568 is an abundant number, since it is smaller than the sum of its proper divisors (107827776).

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

52277568 is a wasteful number, since it uses less digits than its factorization.

52277568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520 (or 510 counting only the distinct ones).

The product of its digits is 235200, while the sum is 42.

The square root of 52277568 is about 7230.3228143700. The cubic root of 52277568 is about 373.9140565292.

The spelling of 52277568 in words is "fifty-two million, two hundred seventy-seven thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 97 112 168 192 194 224 291 336 388 401 448 582 672 679 776 802 1164 1203 1344 1358 1552 1604 2037 2328 2406 2716 2807 3104 3208 4074 4656 4812 5432 5614 6208 6416 8148 8421 9312 9624 10864 11228 12832 16296 16842 18624 19248 21728 22456 25664 32592 33684 38496 38897 43456 44912 65184 67368 76992 77794 89824 116691 130368 134736 155588 179648 233382 269472 272279 311176 466764 538944 544558 622352 816837 933528 1089116 1244704 1633674 1867056 2178232 2489408 3267348 3734112 4356464 6534696 7468224 8712928 13069392 17425856 26138784 52277568