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3940490664 = 2332118955903
BaseRepresentation
bin1110101011011111…
…0001110110101000
3101011121201122222200
43222313301312220
531032231200124
61451002220200
7166435421655
oct35267616650
911147648880
103940490664
111742338a60
1291b7b4660
134aa4b6ba6
142954a2c2c
15180e1cbc9
hexeadf1da8

3940490664 has 96 divisors (see below), whose sum is σ = 11773382400. Its totient is φ = 1180650240.

The previous prime is 3940490633. The next prime is 3940490747. The reversal of 3940490664 is 4660940493.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42537 + ... + 98439.

It is an arithmetic number, because the mean of its divisors is an integer number (122639400).

Almost surely, 23940490664 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 3940490664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5886691200).

3940490664 is an abundant number, since it is smaller than the sum of its proper divisors (7832891736).

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

3940490664 is a wasteful number, since it uses less digits than its factorization.

3940490664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56015 (or 56008 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The square root of 3940490664 is about 62773.3276479748. The cubic root of 3940490664 is about 1579.4895889108.

The spelling of 3940490664 in words is "three billion, nine hundred forty million, four hundred ninety thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 89 99 132 178 198 264 267 356 396 534 712 792 801 979 1068 1602 1958 2136 2937 3204 3916 5874 6408 7832 8811 11748 17622 23496 35244 55903 70488 111806 167709 223612 335418 447224 503127 614933 670836 1006254 1229866 1341672 1844799 2012508 2459732 3689598 4025016 4919464 4975367 5534397 7379196 9950734 11068794 14758392 14926101 19901468 22137588 29852202 39802936 44275176 44778303 54729037 59704404 89556606 109458074 119408808 164187111 179113212 218916148 328374222 358226424 437832296 492561333 656748444 985122666 1313496888 1970245332 3940490664