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6169248 = 253231691
BaseRepresentation
bin10111100010001010100000
3102121102121200
4113202022200
53034403443
6340121200
7103303101
oct27421240
912542550
106169248
113534058
122096200
131380057
14b683a8
1581cdd3
hex5e22a0

6169248 has 72 divisors (see below), whose sum is σ = 18135936. Its totient is φ = 1987200.

The previous prime is 6169231. The next prime is 6169259. The reversal of 6169248 is 8429616.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8583 + ... + 9273.

It is an arithmetic number, because the mean of its divisors is an integer number (251888).

Almost surely, 26169248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6169248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9067968).

6169248 is an abundant number, since it is smaller than the sum of its proper divisors (11966688).

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

6169248 is a wasteful number, since it uses less digits than its factorization.

6169248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 738 (or 727 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 6169248 is about 2483.7970931620. The cubic root of 6169248 is about 183.4048191381.

The spelling of 6169248 in words is "six million, one hundred sixty-nine thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 72 93 96 124 144 186 248 279 288 372 496 558 691 744 992 1116 1382 1488 2073 2232 2764 2976 4146 4464 5528 6219 8292 8928 11056 12438 16584 21421 22112 24876 33168 42842 49752 64263 66336 85684 99504 128526 171368 192789 199008 257052 342736 385578 514104 685472 771156 1028208 1542312 2056416 3084624 6169248