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2687234850 = 2325289229293
BaseRepresentation
bin1010000000101011…
…1111001100100010
320221021111200012200
42200022333030202
521000413003400
61122352434030
7123410055636
oct24012771442
96837450180
102687234850
111159968353
1262bb48916
1333a9673c1
141b6c6cdc6
1510adb2b00
hexa02bf322

2687234850 has 144 divisors (see below), whose sum is σ = 7357732200. Its totient is φ = 703042560.

The previous prime is 2687234843. The next prime is 2687234881. The reversal of 2687234850 is 584327862.

It can be written as a sum of positive squares in 12 ways, for example, as 908841609 + 1778393241 = 30147^2 + 42171^2 .

It is a super-2 number, since 2×26872348502 = 14442462278109045000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 2687234796 and 2687234805.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9171304 + ... + 9171596.

Almost surely, 22687234850 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2687234850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3678866100).

2687234850 is an abundant number, since it is smaller than the sum of its proper divisors (4670497350).

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

2687234850 is a wasteful number, since it uses less digits than its factorization.

2687234850 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 629 (or 621 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 2687234850 is about 51838.5459865533. The cubic root of 2687234850 is about 1390.2787167745.

The spelling of 2687234850 in words is "two billion, six hundred eighty-seven million, two hundred thirty-four thousand, eight hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 89 90 150 178 225 229 267 293 445 450 458 534 586 687 801 879 890 1145 1335 1374 1465 1602 1758 2061 2225 2290 2637 2670 2930 3435 4005 4122 4395 4450 5274 5725 6675 6870 7325 8010 8790 10305 11450 13185 13350 14650 17175 20025 20381 20610 21975 26077 26370 34350 40050 40762 43950 51525 52154 61143 65925 67097 78231 101905 103050 122286 130385 131850 134194 156462 183429 201291 203810 234693 260770 305715 335485 366858 391155 402582 469386 509525 603873 611430 651925 670970 782310 917145 1006455 1019050 1173465 1207746 1303850 1528575 1677425 1834290 1955775 2012910 2346930 3019365 3057150 3354850 3911550 4585725 5032275 5867325 5971633 6038730 9171450 10064550 11734650 11943266 15096825 17914899 29858165 30193650 35829798 53744697 59716330 89574495 107489394 149290825 179148990 268723485 298581650 447872475 537446970 895744950 1343617425 2687234850