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6242944 = 271719151
BaseRepresentation
bin10111110100001010000000
3102202011201011
4113310022000
53044233234
6341450304
7104031001
oct27641200
912664634
106242944
113584464
122110994
1313a7766
14b871a8
15834b64
hex5f4280

6242944 has 64 divisors (see below), whose sum is σ = 13953600. Its totient is φ = 2764800.

The previous prime is 6242941. The next prime is 6242981. The reversal of 6242944 is 4492426.

It is a tau number, because it is divible by the number of its divisors (64).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6242941) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41269 + ... + 41419.

It is an arithmetic number, because the mean of its divisors is an integer number (218025).

Almost surely, 26242944 is an apocalyptic number.

6242944 is a gapful number since it is divisible by the number (64) 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 6242944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6976800).

6242944 is an abundant number, since it is smaller than the sum of its proper divisors (7710656).

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

6242944 is a wasteful number, since it uses less digits than its factorization.

6242944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 189 counting only the distinct ones).

The product of its digits is 13824, while the sum is 31.

The square root of 6242944 is about 2498.5884014779. The cubic root of 6242944 is about 184.1322300929.

The spelling of 6242944 in words is "six million, two hundred forty-two thousand, nine hundred forty-four".

Divisors: 1 2 4 8 16 17 19 32 34 38 64 68 76 128 136 151 152 272 302 304 323 544 604 608 646 1088 1208 1216 1292 2176 2416 2432 2567 2584 2869 4832 5134 5168 5738 9664 10268 10336 11476 19328 20536 20672 22952 41072 41344 45904 48773 82144 91808 97546 164288 183616 195092 328576 367232 390184 780368 1560736 3121472 6242944