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3900382038 = 233788711633
BaseRepresentation
bin1110100001111011…
…0001101101010110
3101001211020221022000
43220132301231112
530441444211123
61443010420130
7165440462130
oct35036615526
911054227260
103900382038
111721733833
1290a291646
134a20b2a87
14290022050
1517c648b43
hexe87b1b56

3900382038 has 64 divisors (see below), whose sum is σ = 9917752320. Its totient is φ = 1113042816.

The previous prime is 3900382033. The next prime is 3900382051. The reversal of 3900382038 is 8302830093.

It is a junction number, because it is equal to n+sod(n) for n = 3900381993 and 3900382011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3900382033) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 329470 + ... + 341102.

It is an arithmetic number, because the mean of its divisors is an integer number (154964880).

Almost surely, 23900382038 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3900382038, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4958876160).

3900382038 is an abundant number, since it is smaller than the sum of its proper divisors (6017370282).

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

3900382038 is a wasteful number, since it uses less digits than its factorization.

3900382038 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12538 (or 12532 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 3900382038 is about 62453.0386610612. The cubic root of 3900382038 is about 1574.1123124818.

The spelling of 3900382038 in words is "three billion, nine hundred million, three hundred eighty-two thousand, thirty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 378 887 1774 2661 5322 6209 7983 11633 12418 15966 18627 23266 23949 34899 37254 47898 55881 69798 81431 104697 111762 162862 167643 209394 244293 314091 335286 488586 628182 732879 1465758 2198637 4397274 10318471 20636942 30955413 61910826 72229297 92866239 144458594 185732478 216687891 278598717 433375782 557197434 650063673 1300127346 1950191019 3900382038