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38198040 = 2335674751
BaseRepresentation
bin1001000110110…
…1101100011000
32122212122212020
42101231230120
534234314130
63442414440
7642451356
oct221555430
978778766
1038198040
111a61a831
1210961420
137bb55ba
1451047d6
153547e10
hex246db18

38198040 has 64 divisors (see below), whose sum is σ = 116328960. Its totient is φ = 10032000.

The previous prime is 38198033. The next prime is 38198047. The reversal of 38198040 is 4089183.

It is an interprime number because it is at equal distance from previous prime (38198033) and next prime (38198047).

It is a junction number, because it is equal to n+sod(n) for n = 38197992 and 38198010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38198047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5665 + ... + 10415.

It is an arithmetic number, because the mean of its divisors is an integer number (1817640).

Almost surely, 238198040 is an apocalyptic number.

38198040 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 38198040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58164480).

38198040 is an abundant number, since it is smaller than the sum of its proper divisors (78130920).

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

38198040 is a wasteful number, since it uses less digits than its factorization.

38198040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4832 (or 4828 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 38198040 is about 6180.4562938346. The cubic root of 38198040 is about 336.7805690255.

The spelling of 38198040 in words is "thirty-eight million, one hundred ninety-eight thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 67 120 134 201 268 335 402 536 670 804 1005 1340 1608 2010 2680 4020 4751 8040 9502 14253 19004 23755 28506 38008 47510 57012 71265 95020 114024 142530 190040 285060 318317 570120 636634 954951 1273268 1591585 1909902 2546536 3183170 3819804 4774755 6366340 7639608 9549510 12732680 19099020 38198040