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3979993920 = 26357592261
BaseRepresentation
bin1110110100111001…
…1110001101000000
3101021101001122021020
43231032132031000
531122334301140
61454533025440
7200425250550
oct35516361500
911241048236
103979993920
11176266a381
12930a85280
134b57385b6
1429a827160
151846226d0
hexed39e340

3979993920 has 112 divisors (see below), whose sum is σ = 14441716608. Its totient is φ = 909711360.

The previous prime is 3979993903. The next prime is 3979993949. The reversal of 3979993920 is 293999793.

3979993920 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 (112).

It is a Harshad number since it is a multiple of its sum of digits (60).

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, 289411 + ... + 302850.

Almost surely, 23979993920 is an apocalyptic number.

3979993920 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3979993920 is an abundant number, since it is smaller than the sum of its proper divisors (10461722688).

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

3979993920 is a wasteful number, since it uses less digits than its factorization.

3979993920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 592288 (or 592278 counting only the distinct ones).

The product of its (nonzero) digits is 7440174, while the sum is 60.

The square root of 3979993920 is about 63087.1929950921. The cubic root of 3979993920 is about 1584.7501548357.

The spelling of 3979993920 in words is "three billion, nine hundred seventy-nine million, nine hundred ninety-three thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 140 160 168 192 210 224 240 280 320 336 420 448 480 560 672 840 960 1120 1344 1680 2240 3360 6720 592261 1184522 1776783 2369044 2961305 3553566 4145827 4738088 5922610 7107132 8291654 8883915 9476176 11845220 12437481 14214264 16583308 17767830 18952352 20729135 23690440 24874962 28428528 33166616 35535660 37904704 41458270 47380880 49749924 56857056 62187405 66333232 71071320 82916540 94761760 99499848 113714112 124374810 132666464 142142640 165833080 189523520 198999696 248749620 265332928 284285280 331666160 397999392 497499240 568570560 663332320 795998784 994998480 1326664640 1989996960 3979993920