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52668616 = 23711136577
BaseRepresentation
bin1100100011101…
…0100011001000
310200002211202111
43020322203020
5101440343431
65120512104
71206450550
oct310724310
9120084674
1052668616
1127803790
121577b634
13abb0c80
146dd0160
1549557b1
hex323a8c8

52668616 has 64 divisors (see below), whose sum is σ = 132612480. Its totient is φ = 18938880.

The previous prime is 52668607. The next prime is 52668619. The reversal of 52668616 is 61686625.

It is a super-2 number, since 2×526686162 = 5547966222710912, which contains 22 as substring.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (52668619) 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 15 ways as a sum of consecutive naturals, for example, 4720 + ... + 11296.

It is an arithmetic number, because the mean of its divisors is an integer number (2072070).

Almost surely, 252668616 is an apocalyptic number.

52668616 is a gapful number since it is divisible by the number (56) 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 52668616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66306240).

52668616 is an abundant number, since it is smaller than the sum of its proper divisors (79943864).

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

52668616 is a wasteful number, since it uses less digits than its factorization.

52668616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6614 (or 6610 counting only the distinct ones).

The product of its digits is 103680, while the sum is 40.

The square root of 52668616 is about 7257.3146548844. The cubic root of 52668616 is about 374.8440619794.

Subtracting 52668616 from its reverse (61686625), we obtain a square (9018009 = 30032).

The spelling of 52668616 in words is "fifty-two million, six hundred sixty-eight thousand, six hundred sixteen".

Divisors: 1 2 4 7 8 11 13 14 22 26 28 44 52 56 77 88 91 104 143 154 182 286 308 364 572 616 728 1001 1144 2002 4004 6577 8008 13154 26308 46039 52616 72347 85501 92078 144694 171002 184156 289388 342004 368312 506429 578776 598507 684008 940511 1012858 1197014 1881022 2025716 2394028 3762044 4051432 4788056 6583577 7524088 13167154 26334308 52668616