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4900014 = 234729149
BaseRepresentation
bin10010101100010010101110
3100012221120000
4102230102232
52223300024
6253005130
756435520
oct22542256
910187500
104900014
1128474a9
1217837a6
131027422
14917a10
1566bcc9
hex4ac4ae

4900014 has 80 divisors (see below), whose sum is σ = 13068000. Its totient is φ = 1342656.

The previous prime is 4900003. The next prime is 4900031. The reversal of 4900014 is 4100094.

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

It is a self number, because there is not a number n which added to its sum of digits gives 4900014.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 32812 + ... + 32960.

It is an arithmetic number, because the mean of its divisors is an integer number (163350).

Almost surely, 24900014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4900014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6534000).

4900014 is an abundant number, since it is smaller than the sum of its proper divisors (8167986).

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

4900014 is a wasteful number, since it uses less digits than its factorization.

4900014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 4900014 is about 2213.5975243933. The cubic root of 4900014 is about 169.8500869859.

The spelling of 4900014 in words is "four million, nine hundred thousand, fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 27 29 42 54 58 63 81 87 126 149 162 174 189 203 261 298 378 406 447 522 567 609 783 894 1043 1134 1218 1341 1566 1827 2086 2349 2682 3129 3654 4023 4321 4698 5481 6258 8046 8642 9387 10962 12069 12963 16443 18774 24138 25926 28161 30247 32886 38889 56322 60494 77778 84483 90741 116667 168966 181482 233334 272223 350001 544446 700002 816669 1633338 2450007 4900014