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3982836 = 22311213211
BaseRepresentation
bin1111001100010111110100
321111100102110
433030113310
52004422321
6221211020
745565524
oct17142764
97440373
103982836
112280400
121400a70
13a95b10
14759684
1553a176
hex3cc5f4

3982836 has 72 divisors (see below), whose sum is σ = 11052832. Its totient is φ = 1108800.

The previous prime is 3982819. The next prime is 3982877. The reversal of 3982836 is 6382893.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 3982794 and 3982803.

It is a congruent number.

It is an unprimeable number.

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, 18771 + ... + 18981.

Almost surely, 23982836 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 3982836, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5526416).

3982836 is an abundant number, since it is smaller than the sum of its proper divisors (7069996).

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

3982836 is a wasteful number, since it uses less digits than its factorization.

3982836 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 240 counting only the distinct ones).

The product of its digits is 62208, while the sum is 39.

The square root of 3982836 is about 1995.7043869271. The cubic root of 3982836 is about 158.5127283976.

The spelling of 3982836 in words is "three million, nine hundred eighty-two thousand, eight hundred thirty-six".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 52 66 78 121 132 143 156 211 242 286 363 422 429 484 572 633 726 844 858 1266 1452 1573 1716 2321 2532 2743 3146 4642 4719 5486 6292 6963 8229 9284 9438 10972 13926 16458 18876 25531 27852 30173 32916 51062 60346 76593 90519 102124 120692 153186 181038 306372 331903 362076 663806 995709 1327612 1991418 3982836