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3833129940 = 2235379316843
BaseRepresentation
bin1110010001111000…
…1110101111010100
3100220010201011202120
43210132032233110
530322240124230
61432205135540
7163663031643
oct34436165724
910803634676
103833129940
11169777a292
128ab85a5b0
13491196c33
1428511735a
151767b2310
hexe478ebd4

3833129940 has 48 divisors (see below), whose sum is σ = 10736230848. Its totient is φ = 1021837824.

The previous prime is 3833129921. The next prime is 3833129953. The reversal of 3833129940 is 499213383.

It is a junction number, because it is equal to n+sod(n) for n = 3833129892 and 3833129901.

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, 219159 + ... + 236001.

It is an arithmetic number, because the mean of its divisors is an integer number (223671476).

Almost surely, 23833129940 is an apocalyptic number.

3833129940 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3833129940 is an abundant number, since it is smaller than the sum of its proper divisors (6903100908).

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

3833129940 is a wasteful number, since it uses less digits than its factorization.

3833129940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20648 (or 20646 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 42.

The square root of 3833129940 is about 61912.2761655554. The cubic root of 3833129940 is about 1565.0126317850.

The spelling of 3833129940 in words is "three billion, eight hundred thirty-three million, one hundred twenty-nine thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 3793 7586 11379 15172 16843 18965 22758 33686 37930 45516 50529 56895 67372 75860 84215 101058 113790 168430 202116 227580 252645 336860 505290 1010580 63885499 127770998 191656497 255541996 319427495 383312994 638854990 766625988 958282485 1277709980 1916564970 3833129940