[go: up one dir, main page]

Search a number
-
+
42000608 = 2513175939
BaseRepresentation
bin1010000000111…
…0000011100000
32221000212000002
42200032003200
541223004413
64100115132
71016666516
oct240160340
987025002
1042000608
1121787751
1212095aa8
138917340
1458144b6
153a49958
hex280e0e0

42000608 has 48 divisors (see below), whose sum is σ = 94303440. Its totient is φ = 18241536.

The previous prime is 42000589. The next prime is 42000611. The reversal of 42000608 is 80600024.

It is a self number, because there is not a number n which added to its sum of digits gives 42000608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4103 + ... + 10041.

It is an arithmetic number, because the mean of its divisors is an integer number (1964655).

Almost surely, 242000608 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 42000608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47151720).

42000608 is an abundant number, since it is smaller than the sum of its proper divisors (52302832).

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

42000608 is a wasteful number, since it uses less digits than its factorization.

42000608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5979 (or 5971 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 42000608 is about 6480.7876064565. The cubic root of 42000608 is about 347.6043418013.

The spelling of 42000608 in words is "forty-two million, six hundred eight", and thus it is an aban number.

Divisors: 1 2 4 8 13 16 17 26 32 34 52 68 104 136 208 221 272 416 442 544 884 1768 3536 5939 7072 11878 23756 47512 77207 95024 100963 154414 190048 201926 308828 403852 617656 807704 1235312 1312519 1615408 2470624 2625038 3230816 5250076 10500152 21000304 42000608