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71868048 = 24371071999
BaseRepresentation
bin1000100100010…
…01111010010000
312000020021102120
410102021322100
5121344234143
611044214240
71531603560
oct422117220
9160207376
1071868048
113762758a
122009a380
1311b73b95
14978ada0
156499383
hex4489e90

71868048 has 80 divisors (see below), whose sum is σ = 214272000. Its totient is φ = 20331648.

The previous prime is 71868047. The next prime is 71868059. The reversal of 71868048 is 84086817.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71868047) 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, 34953 + ... + 36951.

It is an arithmetic number, because the mean of its divisors is an integer number (2678400).

Almost surely, 271868048 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 71868048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107136000).

71868048 is an abundant number, since it is smaller than the sum of its proper divisors (142403952).

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

71868048 is a wasteful number, since it uses less digits than its factorization.

71868048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2124 (or 2118 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 42.

The square root of 71868048 is about 8477.5024624001. The cubic root of 71868048 is about 415.7624691817.

The spelling of 71868048 in words is "seventy-one million, eight hundred sixty-eight thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 107 112 168 214 321 336 428 642 749 856 1284 1498 1712 1999 2247 2568 2996 3998 4494 5136 5992 5997 7996 8988 11984 11994 13993 15992 17976 23988 27986 31984 35952 41979 47976 55972 83958 95952 111944 167916 213893 223888 335832 427786 641679 671664 855572 1283358 1497251 1711144 2566716 2994502 3422288 4491753 5133432 5989004 8983506 10266864 11978008 17967012 23956016 35934024 71868048