Search a number
-
+
53729676 = 223372111371
BaseRepresentation
bin1100110011110…
…1100110001100
310202002202021000
43030331212030
5102223322201
65155340300
71221460200
oct314754614
9122082230
1053729676
11283689a0
1215bb1690
13b192c10
1471c8b00
154ab4d86
hex333d98c

53729676 has 288 divisors, whose sum is σ = 193052160. Its totient is φ = 12700800.

The previous prime is 53729659. The next prime is 53729681. The reversal of 53729676 is 67692735.

53729676 is nontrivially palindromic in base 5.

It is a super-3 number, since 3×537296763 (a number of 24 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 756721 + ... + 756791.

It is an arithmetic number, because the mean of its divisors is an integer number (670320).

Almost surely, 253729676 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 53729676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96526080).

53729676 is an abundant number, since it is smaller than the sum of its proper divisors (139322484).

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

53729676 is a wasteful number, since it uses less digits than its factorization.

53729676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 107 counting only the distinct ones).

The product of its digits is 476280, while the sum is 45.

The square root of 53729676 is about 7330.0529329603. The cubic root of 53729676 is about 377.3445430985.

The spelling of 53729676 in words is "fifty-three million, seven hundred twenty-nine thousand, six hundred seventy-six".