Search a number
-
+
62102052 = 223731229
BaseRepresentation
bin1110110011100…
…1101000100100
311022212010000000
43230321220210
5111344231202
610055021300
71352600355
oct354715044
9138763000
1062102052
1132067211
121896a830
13cb3499c
148367d2c
1556ba91c
hex3b39a24

62102052 has 96 divisors (see below), whose sum is σ = 168985600. Its totient is φ = 19945440.

The previous prime is 62102041. The next prime is 62102057. The reversal of 62102052 is 25020126.

62102052 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×621020522 = 7713329725221408, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (62102057) 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 31 ways as a sum of consecutive naturals, for example, 271074 + ... + 271302.

Almost surely, 262102052 is an apocalyptic number.

62102052 is a gapful number since it is divisible by the number (62) 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 62102052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84492800).

62102052 is an abundant number, since it is smaller than the sum of its proper divisors (106883548).

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

62102052 is a wasteful number, since it uses less digits than its factorization.

62102052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 62102052 is about 7880.4855180376. The cubic root of 62102052 is about 396.0061982501.

Adding to 62102052 its reverse (25020126), we get a palindrome (87122178).

The spelling of 62102052 in words is "sixty-two million, one hundred two thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 81 93 108 124 162 186 229 243 279 324 372 458 486 558 687 729 837 916 972 1116 1374 1458 1674 2061 2187 2511 2748 2916 3348 4122 4374 5022 6183 7099 7533 8244 8748 10044 12366 14198 15066 18549 21297 22599 24732 28396 30132 37098 42594 45198 55647 63891 67797 74196 85188 90396 111294 127782 135594 166941 191673 222588 255564 271188 333882 383346 500823 575019 667764 766692 1001646 1150038 1725057 2003292 2300076 3450114 5175171 6900228 10350342 15525513 20700684 31051026 62102052