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3705772 = 22733773
BaseRepresentation
bin1110001000101110101100
320222021100211
432020232230
51422041042
6211232204
743333000
oct16105654
96867324
103705772
112101224
1212a8664
139c9985
146c6700
154d3017
hex388bac

3705772 has 48 divisors (see below), whose sum is σ = 7873600. Its totient is φ = 1524096.

The previous prime is 3705769. The next prime is 3705773. The reversal of 3705772 is 2775073.

3705772 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×37057722 = 27465492231968, which contains 22 as substring.

It is a nialpdrome in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3705773) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 50728 + ... + 50800.

Almost surely, 23705772 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 3705772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3936800).

3705772 is an abundant number, since it is smaller than the sum of its proper divisors (4167828).

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

3705772 is a wasteful number, since it uses less digits than its factorization.

3705772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 10290, while the sum is 31.

The square root of 3705772 is about 1925.0381814395. The cubic root of 3705772 is about 154.7484229706.

The spelling of 3705772 in words is "three million, seven hundred five thousand, seven hundred seventy-two".

Divisors: 1 2 4 7 14 28 37 49 73 74 98 146 148 196 259 292 343 511 518 686 1022 1036 1372 1813 2044 2701 3577 3626 5402 7154 7252 10804 12691 14308 18907 25039 25382 37814 50078 50764 75628 100156 132349 264698 529396 926443 1852886 3705772