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2947938 = 237237271
BaseRepresentation
bin1011001111101101100010
312112202210220
423033231202
51223313223
6143103510
734025400
oct13175542
95482726
102947938
111733914
12ba1b96
137c2a56
1456a470
153d36e3
hex2cfb62

2947938 has 48 divisors (see below), whose sum is σ = 7069824. Its totient is φ = 816480.

The previous prime is 2947897. The next prime is 2947939. The reversal of 2947938 is 8397492.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 2947938.

It is not an unprimeable number, because it can be changed into a prime (2947939) 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, 10743 + ... + 11013.

It is an arithmetic number, because the mean of its divisors is an integer number (147288).

22947938 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2947938, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3534912).

2947938 is an abundant number, since it is smaller than the sum of its proper divisors (4121886).

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

2947938 is a wasteful number, since it uses less digits than its factorization.

2947938 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 320 counting only the distinct ones).

The product of its digits is 108864, while the sum is 42.

The square root of 2947938 is about 1716.9560273927. The cubic root of 2947938 is about 143.3857905463.

The spelling of 2947938 in words is "two million, nine hundred forty-seven thousand, nine hundred thirty-eight".

Divisors: 1 2 3 6 7 14 21 37 42 49 74 98 111 147 222 259 271 294 518 542 777 813 1554 1626 1813 1897 3626 3794 5439 5691 10027 10878 11382 13279 20054 26558 30081 39837 60162 70189 79674 140378 210567 421134 491323 982646 1473969 2947938