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53847342 = 2351011097
BaseRepresentation
bin1100110101101…
…0010100101110
310202022201200000
43031122110232
5102241103332
65202045130
71222460223
oct315322456
9122281600
1053847342
112843933a
12160497a6
13b204643
14721994a
154ad9b7c
hex335a52e

53847342 has 48 divisors (see below), whose sum is σ = 122299632. Its totient is φ = 17755200.

The previous prime is 53847337. The next prime is 53847361. The reversal of 53847342 is 24374835.

It is a happy number.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 53847297 and 53847306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48538 + ... + 49634.

It is an arithmetic number, because the mean of its divisors is an integer number (2547909).

Almost surely, 253847342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53847342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61149816).

53847342 is an abundant number, since it is smaller than the sum of its proper divisors (68452290).

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

53847342 is a wasteful number, since it uses less digits than its factorization.

53847342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1215 (or 1203 counting only the distinct ones).

The product of its digits is 80640, while the sum is 36.

The square root of 53847342 is about 7338.0748156448. The cubic root of 53847342 is about 377.6197991195.

The spelling of 53847342 in words is "fifty-three million, eight hundred forty-seven thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 81 101 162 202 243 303 486 606 909 1097 1818 2194 2727 3291 5454 6582 8181 9873 16362 19746 24543 29619 49086 59238 88857 110797 177714 221594 266571 332391 533142 664782 997173 1994346 2991519 5983038 8974557 17949114 26923671 53847342