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3829597106 = 2172321491429
BaseRepresentation
bin1110010001000011…
…0000001110110010
3100212220001200121212
43210100300032302
530320334101411
61432001320122
7163621016066
oct34420601662
910786050555
103829597106
111695786a95
128aa636042
1349052abba
14284877aa6
1517631568b
hexe44303b2

3829597106 has 48 divisors (see below), whose sum is σ = 6405399000. Its totient is φ = 1711041024.

The previous prime is 3829597099. The next prime is 3829597133. The reversal of 3829597106 is 6017959283.

It can be written as a sum of positive squares in 4 ways, for example, as 2147859025 + 1681738081 = 46345^2 + 41009^2 .

It is a Smith number, since the sum of its digits (50) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

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, 2679200 + ... + 2680628.

Almost surely, 23829597106 is an apocalyptic number.

3829597106 is a deficient number, since it is larger than the sum of its proper divisors (2575801894).

3829597106 is a wasteful number, since it uses less digits than its factorization.

3829597106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1643 (or 1620 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 50.

The square root of 3829597106 is about 61883.7386233249. The cubic root of 3829597106 is about 1564.5316819793.

The spelling of 3829597106 in words is "three billion, eight hundred twenty-nine million, five hundred ninety-seven thousand, one hundred six".

Divisors: 1 2 17 23 34 46 149 298 391 529 782 1058 1429 2533 2858 3427 5066 6854 8993 17986 24293 32867 48586 58259 65734 78821 116518 157642 212921 425842 558739 755941 1117478 1339957 1511882 2679914 3619657 4897183 7239314 9794366 12850997 25701994 83252111 112635209 166504222 225270418 1914798553 3829597106