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52968720 = 2435741769
BaseRepresentation
bin1100101000001…
…1110100010000
310200200002102110
43022003310100
5102024444340
65131145320
71212140520
oct312036420
9120602373
1052968720
1127999202
12158a5240
13ac8774c
14706b680
1549b4680
hex3283d10

52968720 has 160 divisors (see below), whose sum is σ = 192487680. Its totient is φ = 11796480.

The previous prime is 52968697. The next prime is 52968737. The reversal of 52968720 is 2786925.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68496 + ... + 69264.

It is an arithmetic number, because the mean of its divisors is an integer number (1203048).

Almost surely, 252968720 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 52968720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96243840).

52968720 is an abundant number, since it is smaller than the sum of its proper divisors (139518960).

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

52968720 is a wasteful number, since it uses less digits than its factorization.

52968720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 833 (or 827 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 52968720 is about 7277.9612529884. The cubic root of 52968720 is about 375.5546636353.

The spelling of 52968720 in words is "fifty-two million, nine hundred sixty-eight thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 41 42 48 56 60 70 80 82 84 105 112 120 123 140 164 168 205 210 240 246 280 287 328 336 410 420 492 560 574 615 656 769 820 840 861 984 1148 1230 1435 1538 1640 1680 1722 1968 2296 2307 2460 2870 3076 3280 3444 3845 4305 4592 4614 4920 5383 5740 6152 6888 7690 8610 9228 9840 10766 11480 11535 12304 13776 15380 16149 17220 18456 21532 22960 23070 26915 30760 31529 32298 34440 36912 43064 46140 53830 61520 63058 64596 68880 80745 86128 92280 94587 107660 126116 129192 157645 161490 184560 189174 215320 220703 252232 258384 315290 322980 378348 430640 441406 472935 504464 630580 645960 662109 756696 882812 945870 1103515 1261160 1291920 1324218 1513392 1765624 1891740 2207030 2522320 2648436 3310545 3531248 3783480 4414060 5296872 6621090 7566960 8828120 10593744 13242180 17656240 26484360 52968720