Search a number
-
+
7042504 = 237671877
BaseRepresentation
bin11010110111010111001000
3111020210111111
4122313113020
53300330004
6410540104
7113601040
oct32672710
914223444
107042504
113a80157
122437634
1315c7681
14d14720
15941a04
hex6b75c8

7042504 has 32 divisors (see below), whose sum is σ = 15324480. Its totient is φ = 2971584.

The previous prime is 7042501. The next prime is 7042517. The reversal of 7042504 is 4052407.

It is not an unprimeable number, because it can be changed into a prime (7042501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2814 + ... + 4690.

It is an arithmetic number, because the mean of its divisors is an integer number (478890).

Almost surely, 27042504 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 7042504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7662240).

7042504 is an abundant number, since it is smaller than the sum of its proper divisors (8281976).

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

7042504 is a wasteful number, since it uses less digits than its factorization.

7042504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1957 (or 1953 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 22.

The square root of 7042504 is about 2653.7716555876. The cubic root of 7042504 is about 191.6795145347.

The spelling of 7042504 in words is "seven million, forty-two thousand, five hundred four".

Divisors: 1 2 4 7 8 14 28 56 67 134 268 469 536 938 1876 1877 3752 3754 7508 13139 15016 26278 52556 105112 125759 251518 503036 880313 1006072 1760626 3521252 7042504