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3838052946 = 237138098689
BaseRepresentation
bin1110010011000100…
…0000101001010010
3100220110222021212010
43210301000221102
530330020143241
61432502443350
7164052624510
oct34461005122
910813867763
103838052946
11169a531a92
128b1433556
134921cb960
14285a394b0
15176e35d16
hexe4c40a52

3838052946 has 64 divisors (see below), whose sum is σ = 9460281600. Its totient is φ = 1010866176.

The previous prime is 3838052887. The next prime is 3838053007. The reversal of 3838052946 is 6492508383.

It is a junction number, because it is equal to n+sod(n) for n = 3838052895 and 3838052904.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 437370 + ... + 446058.

It is an arithmetic number, because the mean of its divisors is an integer number (147816900).

Almost surely, 23838052946 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3838052946, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4730140800).

3838052946 is an abundant number, since it is smaller than the sum of its proper divisors (5622228654).

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

3838052946 is a wasteful number, since it uses less digits than its factorization.

3838052946 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9523.

The product of its (nonzero) digits is 1244160, while the sum is 48.

The square root of 3838052946 is about 61952.0213229560. The cubic root of 3838052946 is about 1565.6823430171.

The spelling of 3838052946 in words is "three billion, eight hundred thirty-eight million, fifty-two thousand, nine hundred forty-six".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 78 91 182 273 546 809 1618 2427 4854 5663 8689 10517 11326 16989 17378 21034 26067 31551 33978 52134 60823 63102 73619 112957 121646 147238 182469 220857 225914 338871 364938 441714 677742 790699 1581398 2372097 4744194 7029401 14058802 21088203 42176406 49205807 91382213 98411614 147617421 182764426 274146639 295234842 548293278 639675491 1279350982 1919026473 3838052946