Search a number
-
+
62741968 = 2417251919
BaseRepresentation
bin1110111101010…
…1110111010000
311101001121210121
43233111313100
5112030220333
610120440024
71361204122
oct357256720
9141047717
1062741968
1132463a73
1219019014
13ccca033
148493212
15579532d
hex3bd5dd0

62741968 has 40 divisors (see below), whose sum is σ = 129366720. Its totient is φ = 29376000.

The previous prime is 62741927. The next prime is 62741989. The reversal of 62741968 is 86914726.

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 67813 + ... + 68731.

It is an arithmetic number, because the mean of its divisors is an integer number (3234168).

Almost surely, 262741968 is an apocalyptic number.

62741968 is a gapful number since it is divisible by the number (68) 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 62741968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64683360).

62741968 is an abundant number, since it is smaller than the sum of its proper divisors (66624752).

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

62741968 is a wasteful number, since it uses less digits than its factorization.

62741968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1195 (or 1189 counting only the distinct ones).

The product of its digits is 145152, while the sum is 43.

The square root of 62741968 is about 7920.9827673086. The cubic root of 62741968 is about 397.3617371804.

The spelling of 62741968 in words is "sixty-two million, seven hundred forty-one thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 16 17 34 68 136 251 272 502 919 1004 1838 2008 3676 4016 4267 7352 8534 14704 15623 17068 31246 34136 62492 68272 124984 230669 249968 461338 922676 1845352 3690704 3921373 7842746 15685492 31370984 62741968