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3795696 = 243243613
BaseRepresentation
bin1110011110101011110000
321010211201100
432132223300
51432430241
6213204400
744156112
oct16365360
97124640
103795696
112162843
121330700
13a2b898
1470b3b2
154ee9b6
hex39eaf0

3795696 has 60 divisors (see below), whose sum is σ = 10887448. Its totient is φ = 1233792.

The previous prime is 3795691. The next prime is 3795697. The reversal of 3795696 is 6965973.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3795691) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 5886 + ... + 6498.

Almost surely, 23795696 is an apocalyptic number.

3795696 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3795696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5443724).

3795696 is an abundant number, since it is smaller than the sum of its proper divisors (7091752).

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

3795696 is a wasteful number, since it uses less digits than its factorization.

3795696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 670 (or 661 counting only the distinct ones).

The product of its digits is 306180, while the sum is 45.

The square root of 3795696 is about 1948.2546034849. The cubic root of 3795696 is about 155.9901374435.

The spelling of 3795696 in words is "three million, seven hundred ninety-five thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 43 48 72 86 129 144 172 258 344 387 516 613 688 774 1032 1226 1548 1839 2064 2452 3096 3678 4904 5517 6192 7356 9808 11034 14712 22068 26359 29424 44136 52718 79077 88272 105436 158154 210872 237231 316308 421744 474462 632616 948924 1265232 1897848 3795696