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4239768 = 23313107127
BaseRepresentation
bin10000001011000110011000
321222101212110
4100023012120
52041133033
6230512320
751015561
oct20130630
97871773
104239768
112436445
1215056a0
13b55a50
147c5168
1558b363
hex40b198

4239768 has 64 divisors (see below), whose sum is σ = 11612160. Its totient is φ = 1282176.

The previous prime is 4239761. The next prime is 4239803. The reversal of 4239768 is 8679324.

It is a Harshad number since it is a multiple of its sum of digits (39).

Its product of digits (72576) is a multiple of the sum of its prime divisors (252).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4239761) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33321 + ... + 33447.

It is an arithmetic number, because the mean of its divisors is an integer number (181440).

Almost surely, 24239768 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 4239768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5806080).

4239768 is an abundant number, since it is smaller than the sum of its proper divisors (7372392).

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

4239768 is a wasteful number, since it uses less digits than its factorization.

4239768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 252 counting only the distinct ones).

The product of its digits is 72576, while the sum is 39.

The square root of 4239768 is about 2059.0696928467. The cubic root of 4239768 is about 161.8504945935.

The spelling of 4239768 in words is "four million, two hundred thirty-nine thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 107 127 156 214 254 312 321 381 428 508 642 762 856 1016 1284 1391 1524 1651 2568 2782 3048 3302 4173 4953 5564 6604 8346 9906 11128 13208 13589 16692 19812 27178 33384 39624 40767 54356 81534 108712 163068 176657 326136 353314 529971 706628 1059942 1413256 2119884 4239768