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3982291120 = 245397125387
BaseRepresentation
bin1110110101011100…
…1111000010110000
3101021112101100102201
43231113033002300
531123431303440
61455054152544
7200453626123
oct35527170260
911245340381
103982291120
111763999295
129317b2754
134b60610a2
1429ac643ba
1518492819a
hexed5cf0b0

3982291120 has 40 divisors (see below), whose sum is σ = 9282222864. Its totient is φ = 1588891392.

The previous prime is 3982291099. The next prime is 3982291151. The reversal of 3982291120 is 211922893.

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 3982291120.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30934 + ... + 94453.

Almost surely, 23982291120 is an apocalyptic number.

It is an amenable number.

3982291120 is an abundant number, since it is smaller than the sum of its proper divisors (5299931744).

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

3982291120 is a wasteful number, since it uses less digits than its factorization.

3982291120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125797 (or 125791 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 37.

The square root of 3982291120 is about 63105.3969165871. The cubic root of 3982291120 is about 1585.0549951562.

The spelling of 3982291120 in words is "three billion, nine hundred eighty-two million, two hundred ninety-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 397 794 1588 1985 3176 3970 6352 7940 15880 31760 125387 250774 501548 626935 1003096 1253870 2006192 2507740 5015480 10030960 49778639 99557278 199114556 248893195 398229112 497786390 796458224 995572780 1991145560 3982291120