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52886064 = 24371141349
BaseRepresentation
bin1100100110111…
…1101000110000
310200111220001010
43021233220300
5102014323224
65125310520
71211344530
oct311575060
9120456033
1052886064
11279420a0
1215865440
13ac58c3a
1470494c0
154999e29
hex326fa30

52886064 has 160 divisors (see below), whose sum is σ = 174988800. Its totient is φ = 13363200.

The previous prime is 52886059. The next prime is 52886069. The reversal of 52886064 is 46068825.

52886064 = T109 + T110 + ... + T682.

52886064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (52886059) and next prime (52886069).

It is not an unprimeable number, because it can be changed into a prime (52886069) by changing a digit.

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, 151362 + ... + 151710.

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

Almost surely, 252886064 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 52886064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87494400).

52886064 is an abundant number, since it is smaller than the sum of its proper divisors (122102736).

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

52886064 is a wasteful number, since it uses less digits than its factorization.

52886064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The square root of 52886064 is about 7272.2805226421. The cubic root of 52886064 is about 375.3592149070.

The spelling of 52886064 in words is "fifty-two million, eight hundred eighty-six thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 41 42 44 48 56 66 77 82 84 88 112 123 132 154 164 168 176 231 246 264 287 308 328 336 349 451 462 492 528 574 616 656 698 861 902 924 984 1047 1148 1232 1353 1396 1722 1804 1848 1968 2094 2296 2443 2706 2792 3157 3444 3608 3696 3839 4188 4592 4886 5412 5584 6314 6888 7216 7329 7678 8376 9471 9772 10824 11517 12628 13776 14309 14658 15356 16752 18942 19544 21648 23034 25256 26873 28618 29316 30712 37884 39088 42927 46068 50512 53746 57236 58632 61424 75768 80619 85854 92136 100163 107492 114472 117264 151536 157399 161238 171708 184272 200326 214984 228944 300489 314798 322476 343416 400652 429968 472197 600978 629596 644952 686832 801304 944394 1101793 1201956 1259192 1289904 1602608 1888788 2203586 2403912 2518384 3305379 3777576 4407172 4807824 6610758 7555152 8814344 13221516 17628688 26443032 52886064