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52849680 = 24351321303
BaseRepresentation
bin1100100110011…
…0110000010000
310200110001010120
43021212300100
5102012142210
65124430240
71211133462
oct311466020
9120401116
1052849680
1127917824
1215848380
13ac45500
14703a132
15498e270
hex3266c10

52849680 has 120 divisors (see below), whose sum is σ = 177542208. Its totient is φ = 12999168.

The previous prime is 52849679. The next prime is 52849681. The reversal of 52849680 is 8694825.

It is an interprime number because it is at equal distance from previous prime (52849679) and next prime (52849681).

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×528496802 = 5586177352204800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (52849681) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39909 + ... + 41211.

Almost surely, 252849680 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 52849680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88771104).

52849680 is an abundant number, since it is smaller than the sum of its proper divisors (124692528).

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

52849680 is a wasteful number, since it uses less digits than its factorization.

52849680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1345 (or 1326 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 52849680 is about 7269.7785385801. The cubic root of 52849680 is about 375.2731165935.

The spelling of 52849680 in words is "fifty-two million, eight hundred forty-nine thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 169 195 208 240 260 312 338 390 507 520 624 676 780 845 1014 1040 1303 1352 1560 1690 2028 2535 2606 2704 3120 3380 3909 4056 5070 5212 6515 6760 7818 8112 10140 10424 13030 13520 15636 16939 19545 20280 20848 26060 31272 33878 39090 40560 50817 52120 62544 67756 78180 84695 101634 104240 135512 156360 169390 203268 220207 254085 271024 312720 338780 406536 440414 508170 660621 677560 813072 880828 1016340 1101035 1321242 1355120 1761656 2032680 2202070 2642484 3303105 3523312 4065360 4404140 5284968 6606210 8808280 10569936 13212420 17616560 26424840 52849680