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3729564 = 22361279
BaseRepresentation
bin1110001110100010011100
321000111000000
432032202130
51423321224
6211534300
743462236
oct16164234
97014000
103729564
112118093
1212ba390
13a07757
146d1256
154da0c9
hex38e89c

3729564 has 42 divisors (see below), whose sum is σ = 9793280. Its totient is φ = 1242216.

The previous prime is 3729547. The next prime is 3729569. The reversal of 3729564 is 4659273.

3729564 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3729569) 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 13 ways as a sum of consecutive naturals, for example, 2277 + ... + 3555.

Almost surely, 23729564 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 3729564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4896640).

3729564 is an abundant number, since it is smaller than the sum of its proper divisors (6063716).

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

3729564 is a wasteful number, since it uses less digits than its factorization.

3729564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1301 (or 1284 counting only the distinct ones).

The product of its digits is 45360, while the sum is 36.

The square root of 3729564 is about 1931.2079121627. The cubic root of 3729564 is about 155.0788915076.

The spelling of 3729564 in words is "three million, seven hundred twenty-nine thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1279 1458 2558 2916 3837 5116 7674 11511 15348 23022 34533 46044 69066 103599 138132 207198 310797 414396 621594 932391 1243188 1864782 3729564