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5011146 = 2367491
BaseRepresentation
bin10011000111011011001010
3100102121000000
4103013123022
52240324041
6255223430
760410520
oct23073312
910377000
105011146
112912a48
121817b76
131065b9a
14946310
1568ebb6
hex4c76ca

5011146 has 56 divisors (see below), whose sum is σ = 12906144. Its totient is φ = 1428840.

The previous prime is 5011133. The next prime is 5011147. The reversal of 5011146 is 6411105.

5011146 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×50111463 (a number of 21 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (5011147) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 9961 + ... + 10451.

Almost surely, 25011146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5011146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6453072).

5011146 is an abundant number, since it is smaller than the sum of its proper divisors (7894998).

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

5011146 is an equidigital number, since it uses as much as digits as its factorization.

5011146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 5011146 is about 2238.5589114428. The cubic root of 5011146 is about 171.1245629811.

The spelling of 5011146 in words is "five million, eleven thousand, one hundred forty-six".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 162 189 243 378 486 491 567 729 982 1134 1458 1473 1701 2946 3402 3437 4419 5103 6874 8838 10206 10311 13257 20622 26514 30933 39771 61866 79542 92799 119313 185598 238626 278397 357939 556794 715878 835191 1670382 2505573 5011146