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52779792 = 24313412063
BaseRepresentation
bin1100100101010…
…1101100010000
310200022111021010
43021111230100
5102002423132
65123130520
71210422642
oct311255420
9120274233
1052779792
112787a26a
1215813a40
13ac1c760
14701c892
1549786cc
hex3255b10

52779792 has 80 divisors (see below), whose sum is σ = 150490368. Its totient is φ = 15836160.

The previous prime is 52779787. The next prime is 52779799. The reversal of 52779792 is 29797725.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (52779799) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24553 + ... + 26615.

Almost surely, 252779792 is an apocalyptic number.

52779792 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 52779792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75245184).

52779792 is an abundant number, since it is smaller than the sum of its proper divisors (97710576).

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

52779792 is a wasteful number, since it uses less digits than its factorization.

52779792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2128 (or 2122 counting only the distinct ones).

The product of its digits is 555660, while the sum is 48.

The square root of 52779792 is about 7264.9701995259. The cubic root of 52779792 is about 375.1076242202.

The spelling of 52779792 in words is "fifty-two million, seven hundred seventy-nine thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 41 48 52 78 82 104 123 156 164 208 246 312 328 492 533 624 656 984 1066 1599 1968 2063 2132 3198 4126 4264 6189 6396 8252 8528 12378 12792 16504 24756 25584 26819 33008 49512 53638 80457 84583 99024 107276 160914 169166 214552 253749 321828 338332 429104 507498 643656 676664 1014996 1099579 1287312 1353328 2029992 2199158 3298737 4059984 4398316 6597474 8796632 13194948 17593264 26389896 52779792