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7008096 = 253371973
BaseRepresentation
bin11010101110111101100000
3111012001022010
4122232331200
53243224341
6410112520
7113365524
oct32567540
914161263
107008096
113a57317
12241b740
1315b4b04
14d05d84
15936716
hex6aef60

7008096 has 48 divisors (see below), whose sum is σ = 18903024. Its totient is φ = 2271744.

The previous prime is 7008091. The next prime is 7008101. The reversal of 7008096 is 6908007.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (7008091) and next prime (7008101).

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×70080962 = 98226819090432, which contains 22 as substring.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7008091) 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, 2566 + ... + 4538.

It is an arithmetic number, because the mean of its divisors is an integer number (393813).

Almost surely, 27008096 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 7008096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9451512).

7008096 is an abundant number, since it is smaller than the sum of its proper divisors (11894928).

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

7008096 is a wasteful number, since it uses less digits than its factorization.

7008096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2023 (or 2015 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 7008096 is about 2647.2808691183. The cubic root of 7008096 is about 191.3668379156.

The spelling of 7008096 in words is "seven million, eight thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 74 96 111 148 222 296 444 592 888 1184 1776 1973 3552 3946 5919 7892 11838 15784 23676 31568 47352 63136 73001 94704 146002 189408 219003 292004 438006 584008 876012 1168016 1752024 2336032 3504048 7008096