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3879011040 = 253517475369
BaseRepresentation
bin1110011100110101…
…0000001011100000
3101000100001011210120
43213031100023200
530421011323130
61440524400240
7165061023042
oct34715201340
911010034716
103879011040
111710667453
129030a6080
1349a83c608
1428b25ba92
1517a826910
hexe73502e0

3879011040 has 96 divisors (see below), whose sum is σ = 12937669920. Its totient is φ = 973553664.

The previous prime is 3879011039. The next prime is 3879011093. The reversal of 3879011040 is 401109783.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 3879010992 and 3879011010.

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, 229525 + ... + 245844.

It is an arithmetic number, because the mean of its divisors is an integer number (134767395).

Almost surely, 23879011040 is an apocalyptic number.

3879011040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3879011040 is an abundant number, since it is smaller than the sum of its proper divisors (9058658880).

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

3879011040 is a wasteful number, since it uses less digits than its factorization.

3879011040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475404 (or 475396 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 3879011040 is about 62281.7071056984. The cubic root of 3879011040 is about 1571.2320835475.

The spelling of 3879011040 in words is "three billion, eight hundred seventy-nine million, eleven thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 68 80 85 96 102 120 136 160 170 204 240 255 272 340 408 480 510 544 680 816 1020 1360 1632 2040 2720 4080 8160 475369 950738 1426107 1901476 2376845 2852214 3802952 4753690 5704428 7130535 7605904 8081273 9507380 11408856 14261070 15211808 16162546 19014760 22817712 24243819 28522140 32325092 38029520 40406365 45635424 48487638 57044280 64650184 76059040 80812730 96975276 114088560 121219095 129300368 161625460 193950552 228177120 242438190 258600736 323250920 387901104 484876380 646501840 775802208 969752760 1293003680 1939505520 3879011040