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52886016 = 293223499
BaseRepresentation
bin1100100110111…
…1101000000000
310200111212222100
43021233220000
5102014323031
65125310400
71211344431
oct311575000
9120455870
1052886016
1127942057
1215865400
13ac58c01
147049488
154999de6
hex326fa00

52886016 has 120 divisors (see below), whose sum is σ = 159588000. Its totient is φ = 16828416.

The previous prime is 52885999. The next prime is 52886017. The reversal of 52886016 is 61068825.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52886017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 105735 + ... + 106233.

It is an arithmetic number, because the mean of its divisors is an integer number (1329900).

Almost surely, 252886016 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 52886016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79794000).

52886016 is an abundant number, since it is smaller than the sum of its proper divisors (106701984).

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

52886016 is a wasteful number, since it uses less digits than its factorization.

52886016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 52886016 is about 7272.2772224386. The cubic root of 52886016 is about 375.3591013468.

The spelling of 52886016 in words is "fifty-two million, eight hundred eighty-six thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 64 69 72 92 96 128 138 144 184 192 207 256 276 288 368 384 414 499 512 552 576 736 768 828 998 1104 1152 1472 1497 1536 1656 1996 2208 2304 2944 2994 3312 3992 4416 4491 4608 5888 5988 6624 7984 8832 8982 11477 11776 11976 13248 15968 17664 17964 22954 23952 26496 31936 34431 35328 35928 45908 47904 52992 63872 68862 71856 91816 95808 103293 105984 127744 137724 143712 183632 191616 206586 255488 275448 287424 367264 383232 413172 550896 574848 734528 766464 826344 1101792 1149696 1469056 1652688 2203584 2299392 2938112 3305376 4407168 5876224 6610752 8814336 13221504 17628672 26443008 52886016