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3762968 = 231161701
BaseRepresentation
bin1110010110101100011000
321002011211012
432112230120
51430403333
6212353052
743661516
oct16265430
97064735
103762968
1121401a0
121315788
13a19a11
146dd4b6
154e4e48
hex396b18

3762968 has 32 divisors (see below), whose sum is σ = 7834320. Its totient is φ = 1680000.

The previous prime is 3762949. The next prime is 3762977. The reversal of 3762968 is 8692673.

3762968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5018 + ... + 5718.

Almost surely, 23762968 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 3762968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3917160).

3762968 is an abundant number, since it is smaller than the sum of its proper divisors (4071352).

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

3762968 is a wasteful number, since it uses less digits than its factorization.

3762968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 779 (or 775 counting only the distinct ones).

The product of its digits is 108864, while the sum is 41.

The square root of 3762968 is about 1939.8371065633. The cubic root of 3762968 is about 155.5405063294.

The spelling of 3762968 in words is "three million, seven hundred sixty-two thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 11 22 44 61 88 122 244 488 671 701 1342 1402 2684 2804 5368 5608 7711 15422 30844 42761 61688 85522 171044 342088 470371 940742 1881484 3762968