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3977226 = 2321153379
BaseRepresentation
bin1111001011000000001010
321111001201200
433023000022
52004232401
6221125030
745543261
oct17130012
97431650
103977226
112277170
1213b9776
13a933b6
147575d8
15538686
hex3cb00a

3977226 has 48 divisors (see below), whose sum is σ = 9603360. Its totient is φ = 1179360.

The previous prime is 3977219. The next prime is 3977243. The reversal of 3977226 is 6227793.

It is a d-powerful number, because it can be written as 35 + 96 + 73 + 77 + 219 + 221 + 63 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10305 + ... + 10683.

It is an arithmetic number, because the mean of its divisors is an integer number (200070).

Almost surely, 23977226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3977226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4801680).

3977226 is an abundant number, since it is smaller than the sum of its proper divisors (5626134).

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

3977226 is a wasteful number, since it uses less digits than its factorization.

3977226 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451 (or 448 counting only the distinct ones).

The product of its digits is 31752, while the sum is 36.

The square root of 3977226 is about 1994.2983728620. The cubic root of 3977226 is about 158.4382693729.

The spelling of 3977226 in words is "three million, nine hundred seventy-seven thousand, two hundred twenty-six".

Divisors: 1 2 3 6 9 11 18 22 33 53 66 99 106 159 198 318 379 477 583 758 954 1137 1166 1749 2274 3411 3498 4169 5247 6822 8338 10494 12507 20087 25014 37521 40174 60261 75042 120522 180783 220957 361566 441914 662871 1325742 1988613 3977226