Search a number
-
+
68897052 = 223272311887
BaseRepresentation
bin1000001101101…
…00100100011100
311210122022222200
410012310210130
5120114201202
610500411500
71464421020
oct406644434
9153568880
1068897052
1135988414
121b0a6b90
13113737b3
149216380
1560ade1c
hex41b491c

68897052 has 72 divisors (see below), whose sum is σ = 207707136. Its totient is φ = 18827424.

The previous prime is 68896991. The next prime is 68897053. The reversal of 68897052 is 25079886.

It is a junction number, because it is equal to n+sod(n) for n = 68896989 and 68897007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68897053) 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 23 ways as a sum of consecutive naturals, for example, 148 + ... + 11739.

Almost surely, 268897052 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 68897052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103853568).

68897052 is an abundant number, since it is smaller than the sum of its proper divisors (138810084).

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

68897052 is a wasteful number, since it uses less digits than its factorization.

68897052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11927 (or 11922 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 68897052 is about 8300.4248084059. The cubic root of 68897052 is about 409.9525068922.

The spelling of 68897052 in words is "sixty-eight million, eight hundred ninety-seven thousand, fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 23 28 36 42 46 63 69 84 92 126 138 161 207 252 276 322 414 483 644 828 966 1449 1932 2898 5796 11887 23774 35661 47548 71322 83209 106983 142644 166418 213966 249627 273401 332836 427932 499254 546802 748881 820203 998508 1093604 1497762 1640406 1913807 2460609 2995524 3280812 3827614 4921218 5741421 7655228 9842436 11482842 17224263 22965684 34448526 68897052