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38940288 = 273234409
BaseRepresentation
bin1001010010001…
…0111010000000
32201021101000220
42110202322000
534432042123
63510343040
7651662352
oct224427200
981241026
1038940288
111aa87462
121105aa80
1380b53ba
1452590d2
153642ce3
hex2522e80

38940288 has 64 divisors (see below), whose sum is σ = 107956800. Its totient is φ = 12412928.

The previous prime is 38940281. The next prime is 38940313. The reversal of 38940288 is 88204983.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (38940281) 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, 6628 + ... + 11036.

It is an arithmetic number, because the mean of its divisors is an integer number (1686825).

Almost surely, 238940288 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 38940288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53978400).

38940288 is an abundant number, since it is smaller than the sum of its proper divisors (69016512).

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

38940288 is a wasteful number, since it uses less digits than its factorization.

38940288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4449 (or 4437 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The square root of 38940288 is about 6240.2153808983. The cubic root of 38940288 is about 338.9479823772.

The spelling of 38940288 in words is "thirty-eight million, nine hundred forty thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 128 138 184 192 276 368 384 552 736 1104 1472 2208 2944 4409 4416 8818 8832 13227 17636 26454 35272 52908 70544 101407 105816 141088 202814 211632 282176 304221 405628 423264 564352 608442 811256 846528 1216884 1622512 1693056 2433768 3245024 4867536 6490048 9735072 12980096 19470144 38940288