Search a number
-
+
68642252 = 22737591123
BaseRepresentation
bin1000001011101…
…10010111001100
311210011101110122
410011312113030
5120033023002
610451124112
71462310120
oct405662714
9153141418
1068642252
1135823a38
121aba3638
13112b4823
14918b580
15605d6a2
hex41765cc

68642252 has 48 divisors (see below), whose sum is σ = 143512320. Its totient is φ = 28112832.

The previous prime is 68642251. The next prime is 68642267. The reversal of 68642252 is 25224686.

It is not an unprimeable number, because it can be changed into a prime (68642251) 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 15 ways as a sum of consecutive naturals, for example, 60563 + ... + 61685.

It is an arithmetic number, because the mean of its divisors is an integer number (2989840).

Almost surely, 268642252 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68642252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71756160).

68642252 is an abundant number, since it is smaller than the sum of its proper divisors (74870068).

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

68642252 is a wasteful number, since it uses less digits than its factorization.

68642252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1230 (or 1228 counting only the distinct ones).

The product of its digits is 46080, while the sum is 35.

The square root of 68642252 is about 8285.0619792492. The cubic root of 68642252 is about 409.4465107250.

The spelling of 68642252 in words is "sixty-eight million, six hundred forty-two thousand, two hundred fifty-two".

Divisors: 1 2 4 7 14 28 37 59 74 118 148 236 259 413 518 826 1036 1123 1652 2183 2246 4366 4492 7861 8732 15281 15722 30562 31444 41551 61124 66257 83102 132514 166204 265028 290857 463799 581714 927598 1163428 1855196 2451509 4903018 9806036 17160563 34321126 68642252