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3996762 = 2371141211
BaseRepresentation
bin1111001111110001011010
321112001112020
433033301122
52010344022
6221355310
745654240
oct17176132
97461466
103996762
11228a910
121408b36
13a9c263
14760790
1553e35c
hex3cfc5a

3996762 has 64 divisors (see below), whose sum is σ = 10257408. Its totient is φ = 1008000.

The previous prime is 3996743. The next prime is 3996763. The reversal of 3996762 is 2676993.

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

It is not an unprimeable number, because it can be changed into a prime (3996763) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18837 + ... + 19047.

It is an arithmetic number, because the mean of its divisors is an integer number (160272).

Almost surely, 23996762 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3996762, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5128704).

3996762 is an abundant number, since it is smaller than the sum of its proper divisors (6260646).

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

3996762 is a wasteful number, since it uses less digits than its factorization.

3996762 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275.

The product of its digits is 122472, while the sum is 42.

The square root of 3996762 is about 1999.1903361111. The cubic root of 3996762 is about 158.6972602620.

The spelling of 3996762 in words is "three million, nine hundred ninety-six thousand, seven hundred sixty-two".

Divisors: 1 2 3 6 7 11 14 21 22 33 41 42 66 77 82 123 154 211 231 246 287 422 451 462 574 633 861 902 1266 1353 1477 1722 2321 2706 2954 3157 4431 4642 6314 6963 8651 8862 9471 13926 16247 17302 18942 25953 32494 48741 51906 60557 95161 97482 121114 181671 190322 285483 363342 570966 666127 1332254 1998381 3996762