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52986120 = 233511137293
BaseRepresentation
bin1100101000100…
…0000100001000
310200200222021220
43022020010020
5102031023440
65131402040
71212242325
oct312100410
9120628256
1052986120
1127a00290
12158b3320
13ac92645
147073b4c
1549b98d0
hex3288108

52986120 has 128 divisors (see below), whose sum is σ = 175271040. Its totient is φ = 12707840.

The previous prime is 52986119. The next prime is 52986133. The reversal of 52986120 is 2168925.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 180694 + ... + 180986.

It is an arithmetic number, because the mean of its divisors is an integer number (1369305).

Almost surely, 252986120 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 52986120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87635520).

52986120 is an abundant number, since it is smaller than the sum of its proper divisors (122284920).

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

52986120 is a wasteful number, since it uses less digits than its factorization.

52986120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 52986120 is about 7279.1565445455. The cubic root of 52986120 is about 375.5957818383.

The spelling of 52986120 in words is "fifty-two million, nine hundred eighty-six thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 137 165 220 264 274 293 330 411 440 548 586 660 685 822 879 1096 1172 1320 1370 1465 1507 1644 1758 2055 2344 2740 2930 3014 3223 3288 3516 4110 4395 4521 5480 5860 6028 6446 7032 7535 8220 8790 9042 9669 11720 12056 12892 15070 16115 16440 17580 18084 19338 22605 25784 30140 32230 35160 36168 38676 40141 45210 48345 60280 64460 77352 80282 90420 96690 120423 128920 160564 180840 193380 200705 240846 321128 386760 401410 441551 481692 602115 802820 883102 963384 1204230 1324653 1605640 1766204 2207755 2408460 2649306 3532408 4415510 4816920 5298612 6623265 8831020 10597224 13246530 17662040 26493060 52986120