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2967978 = 231322927
BaseRepresentation
bin1011010100100110101010
312120210022010
423110212222
51224433403
6143340350
734140666
oct13244652
95523263
102967978
111747982
12bb16b6
137cbc00
145738a6
153d9603
hex2d49aa

2967978 has 24 divisors (see below), whose sum is σ = 6429888. Its totient is φ = 912912.

The previous prime is 2967977. The next prime is 2967983. The reversal of 2967978 is 8797692.

2967978 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a d-powerful number, because it can be written as 221 + 95 + 67 + 72 + 96 + 73 + 8 .

It is not an unprimeable number, because it can be changed into a prime (2967973) 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 11 ways as a sum of consecutive naturals, for example, 450 + ... + 2477.

It is an arithmetic number, because the mean of its divisors is an integer number (267912).

22967978 is an apocalyptic number.

2967978 is an abundant number, since it is smaller than the sum of its proper divisors (3461910).

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

2967978 is a wasteful number, since it uses less digits than its factorization.

2967978 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2958 (or 2945 counting only the distinct ones).

The product of its digits is 381024, while the sum is 48.

The square root of 2967978 is about 1722.7820523792. The cubic root of 2967978 is about 143.7099679328.

The spelling of 2967978 in words is "two million, nine hundred sixty-seven thousand, nine hundred seventy-eight".

Divisors: 1 2 3 6 13 26 39 78 169 338 507 1014 2927 5854 8781 17562 38051 76102 114153 228306 494663 989326 1483989 2967978