Search a number
-
+
71411628 = 22317379461
BaseRepresentation
bin1000100000110…
…10011110101100
311222101002100010
410100122132230
5121240133003
611030333220
71524663111
oct420323654
9158332303
1071411628
1137345682
121baba210
1311a44202
1496ac908
156409003
hex441a7ac

71411628 has 48 divisors (see below), whose sum is σ = 181216224. Its totient is φ = 21795840.

The previous prime is 71411621. The next prime is 71411629. The reversal of 71411628 is 82611417.

It is a super-2 number, since 2×714116282 = 10199241227220768, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 71411595 and 71411604.

It is not an unprimeable number, because it can be changed into a prime (71411621) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2818 + ... + 12278.

It is an arithmetic number, because the mean of its divisors is an integer number (3775338).

Almost surely, 271411628 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 71411628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90608112).

71411628 is an abundant number, since it is smaller than the sum of its proper divisors (109804596).

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

71411628 is a wasteful number, since it uses less digits than its factorization.

71411628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9522 (or 9520 counting only the distinct ones).

The product of its digits is 2688, while the sum is 30.

The square root of 71411628 is about 8450.5401010823. The cubic root of 71411628 is about 414.8804571734.

The spelling of 71411628 in words is "seventy-one million, four hundred eleven thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 12 17 34 37 51 68 74 102 111 148 204 222 444 629 1258 1887 2516 3774 7548 9461 18922 28383 37844 56766 113532 160837 321674 350057 482511 643348 700114 965022 1050171 1400228 1930044 2100342 4200684 5950969 11901938 17852907 23803876 35705814 71411628