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52608720 = 24351983139
BaseRepresentation
bin1100100010101…
…1111011010000
310122222210121010
43020223323100
5101431434340
65115330520
71206111123
oct310537320
9118883533
1052608720
112777278a
1215750a40
13ab8c928
146db63ba
154942b80
hex322bed0

52608720 has 160 divisors (see below), whose sum is σ = 174988800. Its totient is φ = 13036032.

The previous prime is 52608719. The next prime is 52608763. The reversal of 52608720 is 2780625.

52608720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 378411 + ... + 378549.

It is an arithmetic number, because the mean of its divisors is an integer number (1093680).

Almost surely, 252608720 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 52608720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87494400).

52608720 is an abundant number, since it is smaller than the sum of its proper divisors (122380080).

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

52608720 is a wasteful number, since it uses less digits than its factorization.

52608720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 52608720 is about 7253.1868857765. The cubic root of 52608720 is about 374.7019142269.

The spelling of 52608720 in words is "fifty-two million, six hundred eight thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 38 40 48 57 60 76 80 83 95 114 120 139 152 166 190 228 240 249 278 285 304 332 380 415 417 456 498 556 570 664 695 760 830 834 912 996 1112 1140 1245 1328 1390 1520 1577 1660 1668 1992 2085 2224 2280 2490 2641 2780 3154 3320 3336 3984 4170 4560 4731 4980 5282 5560 6308 6640 6672 7885 7923 8340 9462 9960 10564 11120 11537 12616 13205 15770 15846 16680 18924 19920 21128 23074 23655 25232 26410 31540 31692 33360 34611 37848 39615 42256 46148 47310 52820 57685 63080 63384 69222 75696 79230 92296 94620 105640 115370 126160 126768 138444 158460 173055 184592 189240 211280 219203 230740 276888 316920 346110 378480 438406 461480 553776 633840 657609 692220 876812 922960 1096015 1315218 1384440 1753624 2192030 2630436 2768880 3288045 3507248 4384060 5260872 6576090 8768120 10521744 13152180 17536240 26304360 52608720