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3690850912 = 257210322853
BaseRepresentation
bin1101101111111101…
…1110101001100000
3100112012222122121221
43123333132221200
530024324212122
61410123424424
7160314500200
oct33377365140
910465878557
103690850912
111624430a11
12870085114
1346a86c468
1427027c400
1516905a6c7
hexdbfdea60

3690850912 has 72 divisors (see below), whose sum is σ = 8535146256. Its totient is φ = 1566367488.

The previous prime is 3690850897. The next prime is 3690850913. The reversal of 3690850912 is 2190580963.

It is a happy number.

It is a super-2 number, since 2×36908509122 = 27244760909222463488, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3690850913) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 150078 + ... + 172930.

It is an arithmetic number, because the mean of its divisors is an integer number (118543698).

Almost surely, 23690850912 is an apocalyptic number.

3690850912 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3690850912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4267573128).

3690850912 is an abundant number, since it is smaller than the sum of its proper divisors (4844295344).

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

3690850912 is a wasteful number, since it uses less digits than its factorization.

3690850912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22980 (or 22965 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 43.

The square root of 3690850912 is about 60752.3737149422. The cubic root of 3690850912 is about 1545.4044823745.

The spelling of 3690850912 in words is "three billion, six hundred ninety million, eight hundred fifty thousand, nine hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 103 112 196 206 224 392 412 721 784 824 1442 1568 1648 2884 3296 5047 5768 10094 11536 20188 22853 23072 40376 45706 80752 91412 159971 161504 182824 319942 365648 639884 731296 1119797 1279768 2239594 2353859 2559536 4479188 4707718 5119072 8958376 9415436 16477013 17916752 18830872 32954026 35833504 37661744 65908052 75323488 115339091 131816104 230678182 263632208 461356364 527264416 922712728 1845425456 3690850912