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38169540 = 22325534001
BaseRepresentation
bin1001000110011…
…0101111000100
32122211012202200
42101212233010
534232411130
63442034500
7642302313
oct221465704
978735680
1038169540
111a600382
1210948a30
137ba5636
1450d827a
15353e760
hex2466bc4

38169540 has 72 divisors (see below), whose sum is σ = 117994968. Its totient is φ = 9984000.

The previous prime is 38169517. The next prime is 38169541. The reversal of 38169540 is 4596183.

It can be written as a sum of positive squares in 4 ways, for example, as 788544 + 37380996 = 888^2 + 6114^2 .

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 = 38169495 and 38169504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38169541) 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, 7540 + ... + 11540.

It is an arithmetic number, because the mean of its divisors is an integer number (1638819).

Almost surely, 238169540 is an apocalyptic number.

38169540 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 38169540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58997484).

38169540 is an abundant number, since it is smaller than the sum of its proper divisors (79825428).

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

38169540 is a wasteful number, since it uses less digits than its factorization.

38169540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4069 (or 4064 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 38169540 is about 6178.1502085980. The cubic root of 38169540 is about 336.6967895582.

The spelling of 38169540 in words is "thirty-eight million, one hundred sixty-nine thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 53 60 90 106 159 180 212 265 318 477 530 636 795 954 1060 1590 1908 2385 3180 4001 4770 8002 9540 12003 16004 20005 24006 36009 40010 48012 60015 72018 80020 120030 144036 180045 212053 240060 360090 424106 636159 720180 848212 1060265 1272318 1908477 2120530 2544636 3180795 3816954 4241060 6361590 7633908 9542385 12723180 19084770 38169540