Search a number
-
+
52628352 = 273722797
BaseRepresentation
bin1100100011000…
…0101110000000
310200000210112020
43020300232000
5101433101402
65120001440
71206222300
oct310605600
9120023466
1052628352
1127786507
1215760280
13ab9884a
146dbd600
1549488bc
hex3230b80

52628352 has 96 divisors (see below), whose sum is σ = 162675720. Its totient is φ = 15031296.

The previous prime is 52628351. The next prime is 52628357. The reversal of 52628352 is 25382625.

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 (52628351) 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, 17418 + ... + 20214.

Almost surely, 252628352 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 52628352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81337860).

52628352 is an abundant number, since it is smaller than the sum of its proper divisors (110047368).

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

52628352 is a wasteful number, since it uses less digits than its factorization.

52628352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2828 (or 2809 counting only the distinct ones).

The product of its digits is 28800, while the sum is 33.

The square root of 52628352 is about 7254.5400956918. The cubic root of 52628352 is about 374.7485176109.

The spelling of 52628352 in words is "fifty-two million, six hundred twenty-eight thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 128 147 168 192 196 224 294 336 384 392 448 588 672 784 896 1176 1344 1568 2352 2688 2797 3136 4704 5594 6272 8391 9408 11188 16782 18816 19579 22376 33564 39158 44752 58737 67128 78316 89504 117474 134256 137053 156632 179008 234948 268512 274106 313264 358016 411159 469896 537024 548212 626528 822318 939792 1074048 1096424 1253056 1644636 1879584 2192848 2506112 3289272 3759168 4385696 6578544 7518336 8771392 13157088 17542784 26314176 52628352