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5890038 = 2371121961
BaseRepresentation
bin10110011101111111110110
3102002020121120
4112131333312
53001440123
6330124410
7101031060
oct26357766
912066546
105890038
113363300
121b80706
1312b2c3b
14ad4730
157b52e3
hex59dff6

5890038 has 96 divisors (see below), whose sum is σ = 15832320. Its totient is φ = 1425600.

The previous prime is 5890013. The next prime is 5890051. The reversal of 5890038 is 8300985.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 5889990 and 5890008.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 96528 + ... + 96588.

It is an arithmetic number, because the mean of its divisors is an integer number (164920).

Almost surely, 25890038 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5890038, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7916160).

5890038 is an abundant number, since it is smaller than the sum of its proper divisors (9942282).

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

5890038 is a wasteful number, since it uses less digits than its factorization.

5890038 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 5890038 is about 2426.9400487033. The cubic root of 5890038 is about 180.5951289388.

The spelling of 5890038 in words is "five million, eight hundred ninety thousand, thirty-eight".

Divisors: 1 2 3 6 7 11 14 19 21 22 33 38 42 57 61 66 77 114 121 122 133 154 183 209 231 242 266 363 366 399 418 427 462 627 671 726 798 847 854 1159 1254 1281 1342 1463 1694 2013 2299 2318 2541 2562 2926 3477 4026 4389 4598 4697 5082 6897 6954 7381 8113 8778 9394 12749 13794 14091 14762 16093 16226 22143 24339 25498 28182 32186 38247 44286 48279 48678 51667 76494 89243 96558 103334 140239 155001 178486 267729 280478 310002 420717 535458 841434 981673 1963346 2945019 5890038