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38816010 = 2345173277
BaseRepresentation
bin1001010000010…
…0100100001010
32201001001120000
42110010210022
534414103020
63503543430
7650634132
oct224044412
981031500
1038816010
111aa02052
1210bbab76
13807096c
145225ac2
15361b090
hex250490a

38816010 has 80 divisors (see below), whose sum is σ = 105354216. Its totient is φ = 10253952.

The previous prime is 38816003. The next prime is 38816023. The reversal of 38816010 is 1061883.

It can be written as a sum of positive squares in 4 ways, for example, as 32867289 + 5948721 = 5733^2 + 2439^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 139992 + ... + 140268.

Almost surely, 238816010 is an apocalyptic number.

38816010 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 38816010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52677108).

38816010 is an abundant number, since it is smaller than the sum of its proper divisors (66538206).

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

38816010 is a wasteful number, since it uses less digits than its factorization.

38816010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 38816010 is about 6230.2495937161. The cubic root of 38816010 is about 338.5870137262.

Adding to 38816010 its reverse (1061883), we get a palindrome (39877893).

The spelling of 38816010 in words is "thirty-eight million, eight hundred sixteen thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 173 270 277 346 405 519 554 810 831 865 1038 1385 1557 1662 1730 2493 2595 2770 3114 4155 4671 4986 5190 7479 7785 8310 9342 12465 14013 14958 15570 22437 23355 24930 28026 37395 44874 46710 47921 70065 74790 95842 112185 140130 143763 224370 239605 287526 431289 479210 718815 862578 1293867 1437630 2156445 2587734 3881601 4312890 6469335 7763202 12938670 19408005 38816010