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71860048 = 24131731997
BaseRepresentation
bin1000100100001…
…11111101010000
312000012212110021
410102013331100
5121344010143
611044113224
71531541341
oct422077520
9160185407
1071860048
1137621577
1220095814
1311b70350
1497880c8
156496ced
hex4487f50

71860048 has 40 divisors (see below), whose sum is σ = 150880968. Its totient is φ = 32957952.

The previous prime is 71860043. The next prime is 71860049. The reversal of 71860048 is 84006817.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1098304 + 70761744 = 1048^2 + 8412^2 .

It is a junction number, because it is equal to n+sod(n) for n = 71859995 and 71860022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71860043) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34986 + ... + 36982.

Almost surely, 271860048 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 71860048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75440484).

71860048 is an abundant number, since it is smaller than the sum of its proper divisors (79020920).

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

71860048 is a wasteful number, since it uses less digits than its factorization.

71860048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2191 (or 2185 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 34.

The square root of 71860048 is about 8477.0306121896. The cubic root of 71860048 is about 415.7470417270.

The spelling of 71860048 in words is "seventy-one million, eight hundred sixty thousand, forty-eight".

Divisors: 1 2 4 8 13 16 26 52 104 173 208 346 692 1384 1997 2249 2768 3994 4498 7988 8996 15976 17992 25961 31952 35984 51922 103844 207688 345481 415376 690962 1381924 2763848 4491253 5527696 8982506 17965012 35930024 71860048