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6290944 = 29111117
BaseRepresentation
bin10111111111111000000000
3102211121112221
4113333320000
53102302234
6342500424
7104320642
oct27777000
912747487
106290944
113607530
122134714
1313c356a
14b9a892
15843eb4
hex5ffe00

6290944 has 40 divisors (see below), whose sum is σ = 13724568. Its totient is φ = 2856960.

The previous prime is 6290909. The next prime is 6290951. The reversal of 6290944 is 4490926.

It is a super-3 number, since 3×62909443 (a number of 21 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 3 ways as a sum of consecutive naturals, for example, 5074 + ... + 6190.

Almost surely, 26290944 is an apocalyptic number.

6290944 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 6290944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6862284).

6290944 is an abundant number, since it is smaller than the sum of its proper divisors (7433624).

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

6290944 is a wasteful number, since it uses less digits than its factorization.

6290944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1146 (or 1130 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 34.

The square root of 6290944 is about 2508.1754324608. The cubic root of 6290944 is about 184.6029370525.

The spelling of 6290944 in words is "six million, two hundred ninety thousand, nine hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 512 704 1117 1408 2234 2816 4468 5632 8936 12287 17872 24574 35744 49148 71488 98296 142976 196592 285952 393184 571904 786368 1572736 3145472 6290944