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3967936240 = 2453711311863
BaseRepresentation
bin1110110010000001…
…1110011011110000
3101020112101001020111
43230200132123300
531111242424430
61453422351104
7200220621142
oct35440363360
911215331214
103967936240
111756884254
12928a2b494
134b30a6288
14298da8c92
1518353ec2a
hexec81e6f0

3967936240 has 80 divisors (see below), whose sum is σ = 9559441728. Its totient is φ = 1530482688.

The previous prime is 3967936237. The next prime is 3967936279. The reversal of 3967936240 is 426397693.

3967936240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 328549 + ... + 340411.

Almost surely, 23967936240 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 3967936240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4779720864).

3967936240 is an abundant number, since it is smaller than the sum of its proper divisors (5591505488).

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

3967936240 is a wasteful number, since it uses less digits than its factorization.

3967936240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12026 (or 12020 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 49.

The square root of 3967936240 is about 62991.5568945553. The cubic root of 3967936240 is about 1583.1481641504.

The spelling of 3967936240 in words is "three billion, nine hundred sixty-seven million, nine hundred thirty-six thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 37 40 74 80 113 148 185 226 296 370 452 565 592 740 904 1130 1480 1808 2260 2960 4181 4520 8362 9040 11863 16724 20905 23726 33448 41810 47452 59315 66896 83620 94904 118630 167240 189808 237260 334480 438931 474520 877862 949040 1340519 1755724 2194655 2681038 3511448 4389310 5362076 6702595 7022896 8778620 10724152 13405190 17557240 21448304 26810380 35114480 49599203 53620760 99198406 107241520 198396812 247996015 396793624 495992030 793587248 991984060 1983968120 3967936240