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38726040 = 2335536089
BaseRepresentation
bin1001001110111…
…0100110011000
32200212111010210
42103232212120
534403213130
63502011120
7650110623
oct223564630
980774123
1038726040
111a9504a1
1210b76aa0
13803ba22
145200dba
1535ee5b0
hex24ee998

38726040 has 64 divisors (see below), whose sum is σ = 118389600. Its totient is φ = 10130432.

The previous prime is 38725969. The next prime is 38726041. The reversal of 38726040 is 4062783.

38726040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 38725989 and 38726007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38726041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3316 + ... + 9404.

Almost surely, 238726040 is an apocalyptic number.

38726040 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 38726040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59194800).

38726040 is an abundant number, since it is smaller than the sum of its proper divisors (79663560).

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

38726040 is a wasteful number, since it uses less digits than its factorization.

38726040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6156 (or 6152 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 38726040 is about 6223.0249878978. The cubic root of 38726040 is about 338.3252124744.

The spelling of 38726040 in words is "thirty-eight million, seven hundred twenty-six thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 53 60 106 120 159 212 265 318 424 530 636 795 1060 1272 1590 2120 3180 6089 6360 12178 18267 24356 30445 36534 48712 60890 73068 91335 121780 146136 182670 243560 322717 365340 645434 730680 968151 1290868 1613585 1936302 2581736 3227170 3872604 4840755 6454340 7745208 9681510 12908680 19363020 38726040