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52286688 = 253373829
BaseRepresentation
bin1100011101110…
…1010011100000
310122101102212000
43013131103200
5101341133223
65104404000
71203300216
oct307352340
9118342760
1052286688
1127572843
1215616600
13aaa918c
146d30cb6
1548cc543
hex31dd4e0

52286688 has 96 divisors (see below), whose sum is σ = 154778400. Its totient is φ = 17169408.

The previous prime is 52286683. The next prime is 52286693. The reversal of 52286688 is 88668225.

52286688 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (52286683) and next prime (52286693).

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52286683) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 62658 + ... + 63486.

It is an arithmetic number, because the mean of its divisors is an integer number (1612275).

Almost surely, 252286688 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 52286688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77389200).

52286688 is an abundant number, since it is smaller than the sum of its proper divisors (102491712).

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

52286688 is a wasteful number, since it uses less digits than its factorization.

52286688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 921 (or 907 counting only the distinct ones).

The product of its digits is 368640, while the sum is 45.

The square root of 52286688 is about 7230.9534641014. The cubic root of 52286688 is about 373.9357987923.

The spelling of 52286688 in words is "fifty-two million, two hundred eighty-six thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 73 96 108 144 146 216 219 288 292 432 438 584 657 829 864 876 1168 1314 1658 1752 1971 2336 2487 2628 3316 3504 3942 4974 5256 6632 7008 7461 7884 9948 10512 13264 14922 15768 19896 21024 22383 26528 29844 31536 39792 44766 59688 60517 63072 79584 89532 119376 121034 179064 181551 238752 242068 358128 363102 484136 544653 716256 726204 968272 1089306 1452408 1633959 1936544 2178612 2904816 3267918 4357224 5809632 6535836 8714448 13071672 17428896 26143344 52286688