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52766076 = 223111033881
BaseRepresentation
bin1100100101001…
…0010101111100
310200021210110010
43021102111330
5102002003301
65122543220
71210334646
oct311222574
9120253403
1052766076
112786aa30
1215807b10
13ac1643c
147017896
1549745d6
hex325257c

52766076 has 48 divisors (see below), whose sum is σ = 135652608. Its totient is φ = 15830400.

The previous prime is 52766047. The next prime is 52766081. The reversal of 52766076 is 67066725.

52766076 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 15 ways as a sum of consecutive naturals, for example, 11656 + ... + 15536.

It is an arithmetic number, because the mean of its divisors is an integer number (2826096).

Almost surely, 252766076 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 52766076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67826304).

52766076 is an abundant number, since it is smaller than the sum of its proper divisors (82886532).

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

52766076 is a wasteful number, since it uses less digits than its factorization.

52766076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4002 (or 4000 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 39.

The square root of 52766076 is about 7264.0261563406. The cubic root of 52766076 is about 375.0751280588.

The spelling of 52766076 in words is "fifty-two million, seven hundred sixty-six thousand, seventy-six".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 103 132 206 309 412 618 1133 1236 2266 3399 3881 4532 6798 7762 11643 13596 15524 23286 42691 46572 85382 128073 170764 256146 399743 512292 799486 1199229 1598972 2398458 4397173 4796916 8794346 13191519 17588692 26383038 52766076