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2890532502 = 23211137971409
BaseRepresentation
bin1010110001001010…
…0000011010010110
321110110001021011100
42230102200122112
521404434020002
61154454050530
7131426056314
oct25422403226
97413037140
102890532502
1112536a2940
12688049a46
13370b07680
141d5c6d0b4
1511db6e11c
hexac4a0696

2890532502 has 96 divisors (see below), whose sum is σ = 7372179360. Its totient is φ = 806952960.

The previous prime is 2890532479. The next prime is 2890532563. The reversal of 2890532502 is 2052350982.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2050774 + ... + 2052182.

It is an arithmetic number, because the mean of its divisors is an integer number (76793535).

Almost surely, 22890532502 is an apocalyptic number.

2890532502 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2890532502, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3686089680).

2890532502 is an abundant number, since it is smaller than the sum of its proper divisors (4481646858).

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

2890532502 is a wasteful number, since it uses less digits than its factorization.

2890532502 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2238 (or 2235 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 2890532502 is about 53763.6726982077. The cubic root of 2890532502 is about 1424.4896092748.

The spelling of 2890532502 in words is "two billion, eight hundred ninety million, five hundred thirty-two thousand, five hundred two".

Divisors: 1 2 3 6 9 11 13 18 22 26 33 39 66 78 99 117 143 198 234 286 429 797 858 1287 1409 1594 2391 2574 2818 4227 4782 7173 8454 8767 10361 12681 14346 15499 17534 18317 20722 25362 26301 30998 31083 36634 46497 52602 54951 62166 78903 92994 93249 109902 113971 139491 157806 164853 186498 201487 227942 278982 329706 341913 402974 604461 683826 1025739 1122973 1208922 1813383 2051478 2245946 3368919 3626766 6737838 10106757 12352703 14598649 20213514 24705406 29197298 37058109 43795947 74116218 87591894 111174327 131387841 160585139 222348654 262775682 321170278 481755417 963510834 1445266251 2890532502