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52823808 = 2832101227
BaseRepresentation
bin1100100110000…
…0011100000000
310200101201122100
43021200130000
5102010330213
65124110400
71210665162
oct311403400
9120351570
1052823808
11278aa344
1215835400
13ac367bb
147030932
154986773
hex3260700

52823808 has 108 divisors (see below), whose sum is σ = 154489608. Its totient is φ = 17356800.

The previous prime is 52823807. The next prime is 52823831. The reversal of 52823808 is 80832825.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52823807) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 232591 + ... + 232817.

Almost surely, 252823808 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 52823808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77244804).

52823808 is an abundant number, since it is smaller than the sum of its proper divisors (101665800).

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

52823808 is a wasteful number, since it uses less digits than its factorization.

52823808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 52823808 is about 7267.9988992845. The cubic root of 52823808 is about 375.2118696075.

It can be divided in two parts, 528 and 23808, that added together give a square (24336 = 1562).

The spelling of 52823808 in words is "fifty-two million, eight hundred twenty-three thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 101 128 144 192 202 227 256 288 303 384 404 454 576 606 681 768 808 908 909 1152 1212 1362 1616 1816 1818 2043 2304 2424 2724 3232 3632 3636 4086 4848 5448 6464 7264 7272 8172 9696 10896 12928 14528 14544 16344 19392 21792 22927 25856 29056 29088 32688 38784 43584 45854 58112 58176 65376 68781 77568 87168 91708 116352 130752 137562 174336 183416 206343 232704 261504 275124 366832 412686 523008 550248 733664 825372 1100496 1467328 1650744 2200992 2934656 3301488 4401984 5869312 6602976 8803968 13205952 17607936 26411904 52823808