Search a number
-
+
52978290 = 23517731423
BaseRepresentation
bin1100101000011…
…0001001110010
310200200120112220
43022012021302
5102030301130
65131301510
71212210441
oct312061162
9120616486
1052978290
11279a5412
12158aa896
13ac8bc01
147070d58
1549b7410
hex3286272

52978290 has 64 divisors (see below), whose sum is σ = 136567296. Its totient is φ = 13105152.

The previous prime is 52978271. The next prime is 52978297. The reversal of 52978290 is 9287925.

It is a super-2 number, since 2×529782902 = 5613398422648200, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (52978297) 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 31 ways as a sum of consecutive naturals, for example, 36519 + ... + 37941.

It is an arithmetic number, because the mean of its divisors is an integer number (2133864).

Almost surely, 252978290 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52978290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68283648).

52978290 is an abundant number, since it is smaller than the sum of its proper divisors (83589006).

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

52978290 is a wasteful number, since it uses less digits than its factorization.

52978290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1523.

The product of its (nonzero) digits is 90720, while the sum is 42.

The square root of 52978290 is about 7278.6186876357. The cubic root of 52978290 is about 375.5772797611.

The spelling of 52978290 in words is "fifty-two million, nine hundred seventy-eight thousand, two hundred ninety".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 73 85 102 146 170 219 255 365 438 510 730 1095 1241 1423 2190 2482 2846 3723 4269 6205 7115 7446 8538 12410 14230 18615 21345 24191 37230 42690 48382 72573 103879 120955 145146 207758 241910 311637 362865 519395 623274 725730 1038790 1558185 1765943 3116370 3531886 5297829 8829715 10595658 17659430 26489145 52978290