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5632796052 = 22341310912269
BaseRepresentation
bin1010011111011110…
…11010010110010100
3112112120002200120000
411033233122112110
543013443433202
62330534211300
7256404655632
oct51757322624
915476080500
105632796052
112430626054
1211124b3b30
136b9c9b020
143b6144352
1522e7a191c
hex14fbda594

5632796052 has 120 divisors (see below), whose sum is σ = 16004742600. Its totient is φ = 1717127424.

The previous prime is 5632796041. The next prime is 5632796087. The reversal of 5632796052 is 2506972365.

5632796052 is a `hidden beast` number, since 5 + 6 + 32 + 7 + 9 + 605 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1659258756 + 3973537296 = 40734^2 + 63036^2 .

It is a junction number, because it is equal to n+sod(n) for n = 5632795989 and 5632796007.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 452974 + ... + 465242.

It is an arithmetic number, because the mean of its divisors is an integer number (133372855).

Almost surely, 25632796052 is an apocalyptic number.

5632796052 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5632796052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8002371300).

5632796052 is an abundant number, since it is smaller than the sum of its proper divisors (10371946548).

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

5632796052 is a wasteful number, since it uses less digits than its factorization.

5632796052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12407 (or 12396 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The square root of 5632796052 is about 75051.9556840460. The cubic root of 5632796052 is about 1779.2678944438.

The spelling of 5632796052 in words is "five billion, six hundred thirty-two million, seven hundred ninety-six thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 109 117 156 162 218 234 324 327 351 436 468 654 702 981 1053 1308 1404 1417 1962 2106 2834 2943 3924 4212 4251 5668 5886 8502 8829 11772 12269 12753 17004 17658 24538 25506 35316 36807 38259 49076 51012 73614 76518 110421 114777 147228 153036 159497 220842 229554 318994 331263 441684 459108 478491 637988 662526 956982 993789 1325052 1337321 1435473 1913964 1987578 2674642 2870946 3975156 4011963 4306419 5349284 5741892 8023926 8612838 12035889 12919257 16047852 17225676 17385173 24071778 25838514 34770346 36107667 48143556 51677028 52155519 69540692 72215334 104311038 108323001 144430668 156466557 208622076 216646002 312933114 433292004 469399671 625866228 938799342 1408199013 1877598684 2816398026 5632796052