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2086862904 = 233277615441
BaseRepresentation
bin111110001100011…
…0000000000111000
312101102210121201200
41330120300000320
513233214103104
6543024414200
7102500020260
oct17430600070
95342717650
102086862904
11980a85a95
124a2a77360
1327346b429
1415b22a7a0
15c331eb39
hex7c630038

2086862904 has 96 divisors (see below), whose sum is σ = 6469014240. Its totient is φ = 595353600.

The previous prime is 2086862903. The next prime is 2086862917. The reversal of 2086862904 is 4092686802.

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 2086862904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2086862903) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 380824 + ... + 386264.

It is an arithmetic number, because the mean of its divisors is an integer number (67385565).

Almost surely, 22086862904 is an apocalyptic number.

2086862904 is a gapful number since it is divisible by the number (24) 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 2086862904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3234507120).

2086862904 is an abundant number, since it is smaller than the sum of its proper divisors (4382151336).

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

2086862904 is a wasteful number, since it uses less digits than its factorization.

2086862904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6221 (or 6214 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 2086862904 is about 45682.1946057761. The cubic root of 2086862904 is about 1277.9032452631.

The spelling of 2086862904 in words is "two billion, eighty-six million, eight hundred sixty-two thousand, nine hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 761 1522 2283 3044 4566 5327 5441 6088 6849 9132 10654 10882 13698 15981 16323 18264 21308 21764 27396 31962 32646 38087 42616 43528 47943 48969 54792 63924 65292 76174 95886 97938 114261 127848 130584 152348 191772 195876 228522 304696 342783 383544 391752 457044 685566 914088 1371132 2742264 4140601 8281202 12421803 16562404 24843606 28984207 33124808 37265409 49687212 57968414 74530818 86952621 99374424 115936828 149061636 173905242 231873656 260857863 298123272 347810484 521715726 695620968 1043431452 2086862904