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3926492640 = 253257389533
BaseRepresentation
bin1110101000001001…
…1000010111100000
3101010122101111022100
43222002120113200
531020140231030
61445342210400
7166205431260
oct35202302740
911118344270
103926492640
111735448044
12916b83a00
134a7625635
1429369b7a0
1517eaa5360
hexea0985e0

3926492640 has 144 divisors (see below), whose sum is σ = 15313360608. Its totient is φ = 897481728.

The previous prime is 3926492621. The next prime is 3926492641. The reversal of 3926492640 is 462946293.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3926492641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 184687 + ... + 204846.

It is an arithmetic number, because the mean of its divisors is an integer number (106342782).

Almost surely, 23926492640 is an apocalyptic number.

3926492640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3926492640 is an abundant number, since it is smaller than the sum of its proper divisors (11386867968).

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

3926492640 is a wasteful number, since it uses less digits than its factorization.

3926492640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389561 (or 389550 counting only the distinct ones).

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

The square root of 3926492640 is about 62661.7318624374. The cubic root of 3926492640 is about 1577.6170669843.

The spelling of 3926492640 in words is "three billion, nine hundred twenty-six million, four hundred ninety-two thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 32 35 36 40 42 45 48 56 60 63 70 72 80 84 90 96 105 112 120 126 140 144 160 168 180 210 224 240 252 280 288 315 336 360 420 480 504 560 630 672 720 840 1008 1120 1260 1440 1680 2016 2520 3360 5040 10080 389533 779066 1168599 1558132 1947665 2337198 2726731 3116264 3505797 3895330 4674396 5453462 5842995 6232528 7011594 7790660 8180193 9348792 10906924 11685990 12465056 13633655 14023188 15581320 16360386 17528985 18697584 21813848 23371980 24540579 27267310 28046376 31162640 32720772 35057970 37395168 40900965 43627696 46743960 49081158 54534620 56092752 62325280 65441544 70115940 81801930 87255392 93487920 98162316 109069240 112185504 122702895 130883088 140231880 163603860 186975840 196324632 218138480 245405790 261766176 280463760 327207720 392649264 436276960 490811580 560927520 654415440 785298528 981623160 1308830880 1963246320 3926492640