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40007079 = 3272831093
BaseRepresentation
bin1001100010011…
…1010110100111
32210021120101200
42120213112213
540220211304
63545253543
7664024500
oct230472647
983246350
1040007079
1120645a02
12114942b3
138399b38
145455ba7
1537a3e39
hex26275a7

40007079 has 36 divisors (see below), whose sum is σ = 68094936. Its totient is φ = 22565088.

The previous prime is 40007063. The next prime is 40007083. The reversal of 40007079 is 97070004.

It is not a de Polignac number, because 40007079 - 24 = 40007063 is a prime.

It is a super-2 number, since 2×400070792 = 3201132740224482, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40007029) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 36057 + ... + 37149.

It is an arithmetic number, because the mean of its divisors is an integer number (1891526).

Almost surely, 240007079 is an apocalyptic number.

40007079 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

40007079 is a deficient number, since it is larger than the sum of its proper divisors (28087857).

40007079 is a wasteful number, since it uses less digits than its factorization.

40007079 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1196 (or 1186 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 40007079 is about 6325.1149396671. The cubic root of 40007079 is about 342.0153630115.

The spelling of 40007079 in words is "forty million, seven thousand, seventy-nine".

Divisors: 1 3 7 9 21 49 63 83 147 249 441 581 747 1093 1743 3279 4067 5229 7651 9837 12201 22953 36603 53557 68859 90719 160671 272157 482013 635033 816471 1905099 4445231 5715297 13335693 40007079