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38488140 = 22325375779
BaseRepresentation
bin1001001011010…
…0100001001100
32200102101210200
42102310201030
534323110030
63452533500
7645100215
oct222644114
980371720
1038488140
111a7a8789
1210a81290
137c87662
14517c40c
1535a3d60
hex24b484c

38488140 has 72 divisors (see below), whose sum is σ = 119923440. Its totient is φ = 9984384.

The previous prime is 38488117. The next prime is 38488141. The reversal of 38488140 is 4188483.

38488140 is a `hidden beast` number, since 38 + 488 + 140 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 38488095 and 38488104.

It is not an unprimeable number, because it can be changed into a prime (38488141) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3771 + ... + 9549.

Almost surely, 238488140 is an apocalyptic number.

38488140 is a gapful number since it is divisible by the number (30) 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 38488140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59961720).

38488140 is an abundant number, since it is smaller than the sum of its proper divisors (81435300).

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

38488140 is a wasteful number, since it uses less digits than its factorization.

38488140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5831 (or 5826 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 38488140 is about 6203.8810433470. The cubic root of 38488140 is about 337.6309944178.

The spelling of 38488140 in words is "thirty-eight million, four hundred eighty-eight thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 180 185 222 333 370 444 555 666 740 1110 1332 1665 2220 3330 5779 6660 11558 17337 23116 28895 34674 52011 57790 69348 86685 104022 115580 173370 208044 213823 260055 346740 427646 520110 641469 855292 1040220 1069115 1282938 1924407 2138230 2565876 3207345 3848814 4276460 6414690 7697628 9622035 12829380 19244070 38488140