Search a number
-
+
52973730 = 2335316329
BaseRepresentation
bin1100101000010…
…1000010100010
310200200100022000
43022011002202
5102030124410
65131224430
71212161235
oct312050242
9120610260
1052973730
11279a1a47
12158a8116
13ac89b04
14706d41c
1549b5dc0
hex32850a2

52973730 has 64 divisors (see below), whose sum is σ = 145843200. Its totient is φ = 13668480.

The previous prime is 52973719. The next prime is 52973731. The reversal of 52973730 is 3737925.

It is a happy number.

It is a super-2 number, since 2×529737302 = 5612432140225800, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (52973731) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5206 + ... + 11534.

It is an arithmetic number, because the mean of its divisors is an integer number (2278800).

Almost surely, 252973730 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52973730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72921600).

52973730 is an abundant number, since it is smaller than the sum of its proper divisors (92869470).

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

52973730 is a wasteful number, since it uses less digits than its factorization.

52973730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6376 (or 6370 counting only the distinct ones).

The product of its (nonzero) digits is 39690, while the sum is 36.

The square root of 52973730 is about 7278.3054346462. The cubic root of 52973730 is about 375.5665037650.

The spelling of 52973730 in words is "fifty-two million, nine hundred seventy-three thousand, seven hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 31 45 54 62 90 93 135 155 186 270 279 310 465 558 837 930 1395 1674 2790 4185 6329 8370 12658 18987 31645 37974 56961 63290 94935 113922 170883 189870 196199 284805 341766 392398 569610 588597 854415 980995 1177194 1708830 1765791 1961990 2942985 3531582 5297373 5885970 8828955 10594746 17657910 26486865 52973730