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52859808 = 2532296329
BaseRepresentation
bin1100100110100…
…1001110100000
310200110120000200
43021221032200
5102013003213
65124545200
71211205141
oct311511640
9120416020
1052859808
11279243a1
1215852200
13ac49cc1
14703dac8
154992273
hex32693a0

52859808 has 72 divisors (see below), whose sum is σ = 155528100. Its totient is φ = 17009664.

The previous prime is 52859803. The next prime is 52859809. The reversal of 52859808 is 80895825.

52859808 is a `hidden beast` number, since 52 + 8 + 598 + 0 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 51667344 + 1192464 = 7188^2 + 1092^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (52859803) 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, 5188 + ... + 11516.

Almost surely, 252859808 is an apocalyptic number.

52859808 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52859808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77764050).

52859808 is an abundant number, since it is smaller than the sum of its proper divisors (102668292).

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

52859808 is a wasteful number, since it uses less digits than its factorization.

52859808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6374 (or 6363 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 45.

The square root of 52859808 is about 7270.4750876404. The cubic root of 52859808 is about 375.2970872423.

The spelling of 52859808 in words is "fifty-two million, eight hundred fifty-nine thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 72 87 96 116 144 174 232 261 288 348 464 522 696 928 1044 1392 2088 2784 4176 6329 8352 12658 18987 25316 37974 50632 56961 75948 101264 113922 151896 183541 202528 227844 303792 367082 455688 550623 607584 734164 911376 1101246 1468328 1651869 1822752 2202492 2936656 3303738 4404984 5873312 6607476 8809968 13214952 17619936 26429904 52859808