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7075072 = 2829953
BaseRepresentation
bin11010111111010100000000
3111022110011201
4122333110000
53302400242
6411350544
7114065014
oct32772400
914273151
107075072
113aa2674
122452454
131609444
14d22544
1594b4b7
hex6bf500

7075072 has 36 divisors (see below), whose sum is σ = 14624820. Its totient is φ = 3411968.

The previous prime is 7075067. The next prime is 7075073. The reversal of 7075072 is 2705707.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 3326976 + 3748096 = 1824^2 + 1936^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 7075072.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7075073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6948 + ... + 7900.

It is an arithmetic number, because the mean of its divisors is an integer number (406245).

Almost surely, 27075072 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 7075072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7312410).

7075072 is an abundant number, since it is smaller than the sum of its proper divisors (7549748).

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

7075072 is an equidigital number, since it uses as much as digits as its factorization.

7075072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 998 (or 984 counting only the distinct ones).

The product of its (nonzero) digits is 3430, while the sum is 28.

The square root of 7075072 is about 2659.9007500281. The cubic root of 7075072 is about 191.9745336594.

The spelling of 7075072 in words is "seven million, seventy-five thousand, seventy-two".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 256 464 928 953 1856 1906 3712 3812 7424 7624 15248 27637 30496 55274 60992 110548 121984 221096 243968 442192 884384 1768768 3537536 7075072