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3990624 = 253113779
BaseRepresentation
bin1111001110010001100000
321111202002220
433032101200
52010144444
6221311040
745630321
oct17162140
97452086
103990624
112286240
121405480
13a99521
1475c448
1553c619
hex3ce460

3990624 has 48 divisors (see below), whose sum is σ = 11430720. Its totient is φ = 1208960.

The previous prime is 3990619. The next prime is 3990641. The reversal of 3990624 is 4260993.

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a nialpdrome in base 13.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 834 + ... + 2945.

It is an arithmetic number, because the mean of its divisors is an integer number (238140).

Almost surely, 23990624 is an apocalyptic number.

It is an amenable number.

3990624 is an abundant number, since it is smaller than the sum of its proper divisors (7440096).

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

3990624 is a wasteful number, since it uses less digits than its factorization.

3990624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3803 (or 3795 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 33.

The square root of 3990624 is about 1997.6546248038. The cubic root of 3990624 is about 158.6159792270.

The spelling of 3990624 in words is "three million, nine hundred ninety thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 3779 7558 11337 15116 22674 30232 41569 45348 60464 83138 90696 120928 124707 166276 181392 249414 332552 362784 498828 665104 997656 1330208 1995312 3990624