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52079456 = 25111319599
BaseRepresentation
bin1100011010101…
…0101101100000
310121222220120202
43012222231200
5101313020311
65100124332
71201445102
oct306525540
9117886522
1052079456
1127441080
12155366a8
13aa35a60
146cb9572
15488ae3b
hex31aab60

52079456 has 96 divisors (see below), whose sum is σ = 127008000. Its totient is φ = 20666880.

The previous prime is 52079453. The next prime is 52079459. The reversal of 52079456 is 65497025.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (52079453) and next prime (52079459).

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52079453) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86645 + ... + 87243.

It is an arithmetic number, because the mean of its divisors is an integer number (1323000).

Almost surely, 252079456 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 52079456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63504000).

52079456 is an abundant number, since it is smaller than the sum of its proper divisors (74928544).

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

52079456 is a wasteful number, since it uses less digits than its factorization.

52079456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 652 (or 644 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 38.

The square root of 52079456 is about 7216.6097303374. The cubic root of 52079456 is about 373.4411281698.

Subtracting 52079456 from its reverse (65497025), we obtain a square (13417569 = 36632).

The spelling of 52079456 in words is "fifty-two million, seventy-nine thousand, four hundred fifty-six".

Divisors: 1 2 4 8 11 13 16 19 22 26 32 38 44 52 76 88 104 143 152 176 208 209 247 286 304 352 416 418 494 572 599 608 836 988 1144 1198 1672 1976 2288 2396 2717 3344 3952 4576 4792 5434 6589 6688 7787 7904 9584 10868 11381 13178 15574 19168 21736 22762 26356 31148 43472 45524 52712 62296 85657 86944 91048 105424 124592 125191 147953 171314 182096 210848 249184 250382 295906 342628 364192 500764 591812 685256 1001528 1183624 1370512 1627483 2003056 2367248 2741024 3254966 4006112 4734496 6509932 13019864 26039728 52079456