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3687908056 = 2371719316577
BaseRepresentation
bin1101101111010001…
…0000001011011000
3100112000110010210021
43123310100023120
530023101024211
61405540400224
7160250462350
oct33364201330
910460403707
103687908056
1116228009a8
1286b0a6074
1346a07bb21
1426db13b60
15168b78771
hexdbd102d8

3687908056 has 128 divisors (see below), whose sum is σ = 9093427200. Its totient is φ = 1363599360.

The previous prime is 3687908033. The next prime is 3687908083. The reversal of 3687908056 is 6508097863.

It is a junction number, because it is equal to n+sod(n) for n = 3687907994 and 3687908012.

It is a congruent number.

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, 557440 + ... + 564016.

It is an arithmetic number, because the mean of its divisors is an integer number (71042400).

Almost surely, 23687908056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3687908056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4546713600).

3687908056 is an abundant number, since it is smaller than the sum of its proper divisors (5405519144).

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

3687908056 is a wasteful number, since it uses less digits than its factorization.

3687908056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6657 (or 6653 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 52.

The square root of 3687908056 is about 60728.1487944429. The cubic root of 3687908056 is about 1544.9936365437.

The spelling of 3687908056 in words is "three billion, six hundred eighty-seven million, nine hundred eight thousand, fifty-six".

Divisors: 1 2 4 7 8 14 17 19 28 31 34 38 56 62 68 76 119 124 133 136 152 217 238 248 266 323 434 476 527 532 589 646 868 952 1054 1064 1178 1292 1736 2108 2261 2356 2584 3689 4123 4216 4522 4712 6577 7378 8246 9044 10013 13154 14756 16492 18088 20026 26308 29512 32984 40052 46039 52616 70091 80104 92078 111809 124963 140182 184156 203887 223618 249926 280364 368312 407774 447236 499852 560728 782663 815548 874741 894472 999704 1427209 1565326 1631096 1749482 2124371 2854418 3130652 3466079 3498964 3873853 4248742 5708836 6261304 6932158 6997928 7747706 8497484 11417672 13864316 14870597 15495412 16994968 24262553 27116971 27728632 29741194 30990824 48525106 54233942 59482388 65855501 97050212 108467884 118964776 131711002 194100424 216935768 263422004 460988507 526844008 921977014 1843954028 3687908056