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868465072 = 241910726699
BaseRepresentation
bin110011110000111…
…011100110110000
32020112011121010001
4303300323212300
53234311340242
6222102115344
730343555066
oct6360734660
92215147101
10868465072
11406253732
12202a1bb54
1310ac04b77
14834ac036
155139ceb7
hex33c3b9b0

868465072 has 40 divisors (see below), whose sum is σ = 1787832000. Its totient is φ = 407518272.

The previous prime is 868465061. The next prime is 868465079. The reversal of 868465072 is 270564868.

It is a super-3 number, since 3×8684650723 (a number of 28 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (868465079) 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, 19179 + ... + 45877.

It is an arithmetic number, because the mean of its divisors is an integer number (44695800).

Almost surely, 2868465072 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 868465072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (893916000).

868465072 is an abundant number, since it is smaller than the sum of its proper divisors (919366928).

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

868465072 is a wasteful number, since it uses less digits than its factorization.

868465072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26833 (or 26827 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 46.

The square root of 868465072 is about 29469.7314544941. The cubic root of 868465072 is about 954.0785212558.

The spelling of 868465072 in words is "eight hundred sixty-eight million, four hundred sixty-five thousand, seventy-two".

Divisors: 1 2 4 8 16 19 38 76 107 152 214 304 428 856 1712 2033 4066 8132 16264 26699 32528 53398 106796 213592 427184 507281 1014562 2029124 2856793 4058248 5713586 8116496 11427172 22854344 45708688 54279067 108558134 217116268 434232536 868465072