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52066962 = 234331971
BaseRepresentation
bin1100011010011…
…1101010010010
310121222021110000
43012213222102
5101312120322
65055550430
71201363503
oct306475222
9117867400
1052066962
1127432752
121552b416
13aa3016c
146cb4baa
1548873ac
hex31a7a92

52066962 has 40 divisors (see below), whose sum is σ = 117141552. Its totient is φ = 17285400.

The previous prime is 52066939. The next prime is 52066967. The reversal of 52066962 is 26966025.

52066962 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (52066967) 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 19 ways as a sum of consecutive naturals, for example, 53137 + ... + 54107.

Almost surely, 252066962 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52066962, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58570776).

52066962 is an abundant number, since it is smaller than the sum of its proper divisors (65074590).

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

52066962 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (52066961) it forms an eRAP, since the sums of their prime factors are consecutive (1315 and 1316).

52066962 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1316 (or 1307 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 52066962 is about 7215.7440364802. The cubic root of 52066962 is about 373.4112626081.

The spelling of 52066962 in words is "fifty-two million, sixty-six thousand, nine hundred sixty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 331 662 971 993 1942 1986 2913 2979 5826 5958 8739 8937 17478 17874 26217 26811 52434 53622 78651 157302 321401 642802 964203 1928406 2892609 5785218 8677827 17355654 26033481 52066962