Search a number
-
+
6229504 = 29233
BaseRepresentation
bin10111110000111000000000
3102201111021101
4113300320000
53043321004
6341304144
7103643551
oct27607000
912644241
106229504
113575356
122105054
1313a15c8
14b82328
15830ba4
hex5f0e00

6229504 has 40 divisors (see below), whose sum is σ = 13012560. Its totient is φ = 2979328.

The previous prime is 6229501. The next prime is 6229507. The reversal of 6229504 is 4059226.

The cubic root of 6229504 is 184.

It is a perfect power (a cube), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (6229501) and next prime (6229507).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6229501) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 270837 + ... + 270859.

It is an arithmetic number, because the mean of its divisors is an integer number (325314).

Almost surely, 26229504 is an apocalyptic number.

6229504 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 6229504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6506280).

6229504 is an abundant number, since it is smaller than the sum of its proper divisors (6783056).

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

6229504 is an frugal number, since it uses more digits than its factorization.

6229504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 6229504 is about 2495.8974337901.

The spelling of 6229504 in words is "six million, two hundred twenty-nine thousand, five hundred four".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 184 256 368 512 529 736 1058 1472 2116 2944 4232 5888 8464 11776 12167 16928 24334 33856 48668 67712 97336 135424 194672 270848 389344 778688 1557376 3114752 6229504