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52799760 = 24325135641
BaseRepresentation
bin1100100101101…
…0100100010000
310200100111122200
43021122210100
5102004043020
65123403200
71210535106
oct311324420
9120314580
1052799760
1127893272
1215823500
13ac28880
147025c76
15497e590
hex325a910

52799760 has 120 divisors (see below), whose sum is σ = 190992984. Its totient is φ = 12994560.

The previous prime is 52799741. The next prime is 52799767. The reversal of 52799760 is 6799725.

It can be written as a sum of positive squares in 4 ways, for example, as 10653696 + 42146064 = 3264^2 + 6492^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (52799767) 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, 6540 + ... + 12180.

Almost surely, 252799760 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 52799760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95496492).

52799760 is an abundant number, since it is smaller than the sum of its proper divisors (138193224).

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

52799760 is a wasteful number, since it uses less digits than its factorization.

52799760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5673 (or 5664 counting only the distinct ones).

The product of its (nonzero) digits is 238140, while the sum is 45.

The square root of 52799760 is about 7266.3443353587. The cubic root of 52799760 is about 375.1549226551.

The spelling of 52799760 in words is "fifty-two million, seven hundred ninety-nine thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 30 36 39 40 45 48 52 60 65 72 78 80 90 104 117 120 130 144 156 180 195 208 234 240 260 312 360 390 468 520 585 624 720 780 936 1040 1170 1560 1872 2340 3120 4680 5641 9360 11282 16923 22564 28205 33846 45128 50769 56410 67692 73333 84615 90256 101538 112820 135384 146666 169230 203076 219999 225640 253845 270768 293332 338460 366665 406152 439998 451280 507690 586664 659997 676920 733330 812304 879996 1015380 1099995 1173328 1319994 1353840 1466660 1759992 2030760 2199990 2639988 2933320 3299985 3519984 4061520 4399980 5279976 5866640 6599970 8799960 10559952 13199940 17599920 26399880 52799760