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3689616 = 243779139
BaseRepresentation
bin1110000100110010010000
320221110012110
432010302100
51421031431
6211025320
743234620
oct16046220
96843173
103689616
1120a0077
12129b240
139c2508
146c0880
154cd346
hex384c90

3689616 has 80 divisors (see below), whose sum is σ = 11110400. Its totient is φ = 1033344.

The previous prime is 3689611. The next prime is 3689617. The reversal of 3689616 is 6169863.

It is a happy number.

It is a super-2 number, since 2×36896162 = 27226532454912, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3689611) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26475 + ... + 26613.

It is an arithmetic number, because the mean of its divisors is an integer number (138880).

Almost surely, 23689616 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 3689616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5555200).

3689616 is an abundant number, since it is smaller than the sum of its proper divisors (7420784).

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

3689616 is a wasteful number, since it uses less digits than its factorization.

3689616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 230 counting only the distinct ones).

The product of its digits is 46656, while the sum is 39.

The square root of 3689616 is about 1920.8373174218. The cubic root of 3689616 is about 154.5232105555.

The spelling of 3689616 in words is "three million, six hundred eighty-nine thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 79 84 112 139 158 168 237 278 316 336 417 474 553 556 632 834 948 973 1106 1112 1264 1659 1668 1896 1946 2212 2224 2919 3318 3336 3792 3892 4424 5838 6636 6672 7784 8848 10981 11676 13272 15568 21962 23352 26544 32943 43924 46704 65886 76867 87848 131772 153734 175696 230601 263544 307468 461202 527088 614936 922404 1229872 1844808 3689616