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3926664 = 23337353
BaseRepresentation
bin1110111110101010001000
321101111101000
432332222020
52001123124
6220055000
745243000
oct16765210
97344330
103926664
112242185
121394460
13a76391
14743000
155286c9
hex3bea88

3926664 has 128 divisors (see below), whose sum is σ = 12960000. Its totient is φ = 1100736.

The previous prime is 3926651. The next prime is 3926707. The reversal of 3926664 is 4666293.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 14.

It is a zygodrome in base 6.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 74062 + ... + 74114.

It is an arithmetic number, because the mean of its divisors is an integer number (101250).

Almost surely, 23926664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3926664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6480000).

3926664 is an abundant number, since it is smaller than the sum of its proper divisors (9033336).

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

3926664 is a wasteful number, since it uses less digits than its factorization.

3926664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 65 counting only the distinct ones).

The product of its digits is 46656, while the sum is 36.

The square root of 3926664 is about 1981.5811868304. The cubic root of 3926664 is about 157.7640016773.

It can be divided in two parts, 392 and 6664, that added together give a square (7056 = 842).

The spelling of 3926664 in words is "three million, nine hundred twenty-six thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 49 53 54 56 63 72 84 98 106 108 126 147 159 168 189 196 212 216 252 294 318 343 371 378 392 424 441 477 504 588 636 686 742 756 882 954 1029 1113 1176 1272 1323 1372 1431 1484 1512 1764 1908 2058 2226 2597 2646 2744 2862 2968 3087 3339 3528 3816 4116 4452 5194 5292 5724 6174 6678 7791 8232 8904 9261 10017 10388 10584 11448 12348 13356 15582 18179 18522 20034 20776 23373 24696 26712 31164 36358 37044 40068 46746 54537 62328 70119 72716 74088 80136 93492 109074 140238 145432 163611 186984 218148 280476 327222 436296 490833 560952 654444 981666 1308888 1963332 3926664