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52828056 = 23321923273
BaseRepresentation
bin1100100110000…
…1011110011000
310200101221110200
43021201132120
5102010444211
65124142200
71211013441
oct311413630
9120357420
1052828056
1127902556
1215837960
13ac38708
1470322c8
154987b56
hex3261798

52828056 has 144 divisors (see below), whose sum is σ = 159595800. Its totient is φ = 15738624.

The previous prime is 52828019. The next prime is 52828057. The reversal of 52828056 is 65082825.

52828056 is a `hidden beast` number, since 528 + 2 + 80 + 56 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 52828056.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52828057) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 723636 + ... + 723708.

Almost surely, 252828056 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 52828056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79797900).

52828056 is an abundant number, since it is smaller than the sum of its proper divisors (106767744).

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

52828056 is a wasteful number, since it uses less digits than its factorization.

52828056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 52828056 is about 7268.2911334096. The cubic root of 52828056 is about 375.2219273028.

The spelling of 52828056 in words is "fifty-two million, eight hundred twenty-eight thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 19 23 24 36 38 46 57 69 72 73 76 92 114 138 146 152 171 184 207 219 228 276 292 342 414 437 438 456 529 552 584 657 684 828 874 876 1058 1311 1314 1368 1387 1587 1656 1679 1748 1752 2116 2622 2628 2774 3174 3358 3496 3933 4161 4232 4761 5037 5244 5256 5548 6348 6716 7866 8322 9522 10051 10074 10488 11096 12483 12696 13432 15111 15732 16644 19044 20102 20148 24966 30153 30222 31464 31901 33288 38088 38617 40204 40296 49932 60306 60444 63802 77234 80408 90459 95703 99864 115851 120612 120888 127604 154468 180918 191406 231702 241224 255208 287109 308936 347553 361836 382812 463404 574218 695106 723672 733723 765624 926808 1148436 1390212 1467446 2201169 2296872 2780424 2934892 4402338 5869784 6603507 8804676 13207014 17609352 26414028 52828056