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3725064 = 2332719389
BaseRepresentation
bin1110001101011100001000
321000020211100
432031130020
51423200224
6211501400
743443150
oct16153410
97006740
103725064
112114772
1212b7860
13a056a5
146cd760
154d8ac9
hex38d708

3725064 has 96 divisors (see below), whose sum is σ = 12168000. Its totient is φ = 1005696.

The previous prime is 3725041. The next prime is 3725069. The reversal of 3725064 is 4605273.

3725064 = T141 + T142 + ... + T292.

It is a happy number.

It is a super-2 number, since 2×37250642 = 27752203608192, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3725069) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9382 + ... + 9770.

It is an arithmetic number, because the mean of its divisors is an integer number (126750).

Almost surely, 23725064 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 3725064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6084000).

3725064 is an abundant number, since it is smaller than the sum of its proper divisors (8442936).

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

3725064 is a wasteful number, since it uses less digits than its factorization.

3725064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 3725064 is about 1930.0424865790. The cubic root of 3725064 is about 155.0164949494.

The spelling of 3725064 in words is "three million, seven hundred twenty-five thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 19 21 24 28 36 38 42 56 57 63 72 76 84 114 126 133 152 168 171 228 252 266 342 389 399 456 504 532 684 778 798 1064 1167 1197 1368 1556 1596 2334 2394 2723 3112 3192 3501 4668 4788 5446 7002 7391 8169 9336 9576 10892 14004 14782 16338 21784 22173 24507 28008 29564 32676 44346 49014 51737 59128 65352 66519 88692 98028 103474 133038 155211 177384 196056 206948 266076 310422 413896 465633 532152 620844 931266 1241688 1862532 3725064