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2963972 = 2211314153
BaseRepresentation
bin1011010011101000000100
312120120210202
423103220010
51224321342
6143310032
734123214
oct13235004
95516722
102963972
111744970
12bab318
137ca13b
14572244
153d8332
hex2d3a04

2963972 has 48 divisors (see below), whose sum is σ = 6096384. Its totient is φ = 1248000.

The previous prime is 2963971. The next prime is 2963977. The reversal of 2963972 is 2793692.

It is not an unprimeable number, because it can be changed into a prime (2963971) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55898 + ... + 55950.

It is an arithmetic number, because the mean of its divisors is an integer number (127008).

22963972 is an apocalyptic number.

2963972 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2963972 is an abundant number, since it is smaller than the sum of its proper divisors (3132412).

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

2963972 is a wasteful number, since it uses less digits than its factorization.

2963972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 138 counting only the distinct ones).

The product of its digits is 40824, while the sum is 38.

The square root of 2963972 is about 1721.6190054713. The cubic root of 2963972 is about 143.6452817680.

The spelling of 2963972 in words is "two million, nine hundred sixty-three thousand, nine hundred seventy-two".

Divisors: 1 2 4 11 22 31 41 44 53 62 82 106 124 164 212 341 451 583 682 902 1166 1271 1364 1643 1804 2173 2332 2542 3286 4346 5084 6572 8692 13981 18073 23903 27962 36146 47806 55924 67363 72292 95612 134726 269452 740993 1481986 2963972