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7956945 = 3251511171
BaseRepresentation
bin11110010110100111010001
3112222020212200
4132112213101
54014110240
6442313413
7124430043
oct36264721
915866780
107956945
114545197
1227b8869
131857969
1410b1a93
15a72930
hex7969d1

7956945 has 24 divisors (see below), whose sum is σ = 13895232. Its totient is φ = 4212000.

The previous prime is 7956913. The next prime is 7956947. The reversal of 7956945 is 5496597.

It is a happy number.

It is not a de Polignac number, because 7956945 - 25 = 7956913 is a prime.

It is a super-3 number, since 3×79569453 (a number of 22 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

7956945 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 7956945.

It is not an unprimeable number, because it can be changed into a prime (7956947) 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 23 ways as a sum of consecutive naturals, for example, 6210 + ... + 7380.

It is an arithmetic number, because the mean of its divisors is an integer number (578968).

Almost surely, 27956945 is an apocalyptic number.

It is an amenable number.

7956945 is a deficient number, since it is larger than the sum of its proper divisors (5938287).

7956945 is a wasteful number, since it uses less digits than its factorization.

7956945 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1333 (or 1330 counting only the distinct ones).

The product of its digits is 340200, while the sum is 45.

The square root of 7956945 is about 2820.8057359556. The cubic root of 7956945 is about 199.6405627446.

The spelling of 7956945 in words is "seven million, nine hundred fifty-six thousand, nine hundred forty-five".

Divisors: 1 3 5 9 15 45 151 453 755 1171 1359 2265 3513 5855 6795 10539 17565 52695 176821 530463 884105 1591389 2652315 7956945