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664104042 = 23372397351
BaseRepresentation
bin100111100101010…
…110110001101010
31201021121222111000
4213211112301222
52330002312132
6145522015430
722312535250
oct4745266152
91637558430
10664104042
11310962218
121664a7576
13a7781894
14642b25d0
153d48187c
hex27956c6a

664104042 has 64 divisors (see below), whose sum is σ = 1693900800. Its totient is φ = 188924400.

The previous prime is 664104037. The next prime is 664104061. The reversal of 664104042 is 240401466.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 664103997 and 664104015.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 86667 + ... + 94017.

It is an arithmetic number, because the mean of its divisors is an integer number (26467200).

Almost surely, 2664104042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 664104042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (846950400).

664104042 is an abundant number, since it is smaller than the sum of its proper divisors (1029796758).

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

664104042 is a wasteful number, since it uses less digits than its factorization.

664104042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7608 (or 7602 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 664104042 is about 25770.2161806998. The cubic root of 664104042 is about 872.4596980314.

The spelling of 664104042 in words is "six hundred sixty-four million, one hundred four thousand, forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 239 378 478 717 1434 1673 2151 3346 4302 5019 6453 7351 10038 12906 14702 15057 22053 30114 44106 45171 51457 66159 90342 102914 132318 154371 198477 308742 396954 463113 926226 1389339 1756889 2778678 3513778 5270667 10541334 12298223 15812001 24596446 31624002 36894669 47436003 73789338 94872006 110684007 221368014 332052021 664104042