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52255002528 = 2534124916141
BaseRepresentation
bin110000101010101001…
…000000111110100000
311222212202000011120000
4300222221000332200
51324004240040103
640001114020000
73526633123101
oct605251007640
9158782004500
1052255002528
112018564a903
12a164117600
134c09cbb751
14275a0083a8
15155c828aa3
hexc2aa40fa0

52255002528 has 120 divisors (see below), whose sum is σ = 153813082500. Its totient is φ = 17403310080.

The previous prime is 52255002517. The next prime is 52255002557. The reversal of 52255002528 is 82520055225.

52255002528 is a `hidden beast` number, since 52 + 2 + 550 + 0 + 2 + 52 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 51814506384 + 440496144 = 227628^2 + 20988^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 52255002492 and 52255002501.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3229338 + ... + 3245478.

Almost surely, 252255002528 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 52255002528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76906541250).

52255002528 is an abundant number, since it is smaller than the sum of its proper divisors (101558079972).

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

52255002528 is a wasteful number, since it uses less digits than its factorization.

52255002528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17412 (or 17395 counting only the distinct ones).

The product of its (nonzero) digits is 80000, while the sum is 36.

The spelling of 52255002528 in words is "fifty-two billion, two hundred fifty-five million, two thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 1249 1296 2498 2592 3747 4996 7494 9992 11241 14988 16141 19984 22482 29976 32282 33723 39968 44964 48423 59952 64564 67446 89928 96846 101169 119904 129128 134892 145269 179856 193692 202338 258256 269784 290538 359712 387384 404676 435807 516512 539568 581076 774768 809352 871614 1079136 1162152 1307421 1549536 1618704 1743228 2324304 2614842 3237408 3486456 4648608 5229684 6972912 10459368 13945824 20160109 20918736 40320218 41837472 60480327 80640436 120960654 161280872 181440981 241921308 322561744 362881962 483842616 544322943 645123488 725763924 967685232 1088645886 1451527848 1632968829 1935370464 2177291772 2903055696 3265937658 4354583544 5806111392 6531875316 8709167088 13063750632 17418334176 26127501264 52255002528