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38013937 = 133378677
BaseRepresentation
bin1001000100000…
…0101111110001
32122112022022121
42101000233301
534212421222
63434434241
7641053543
oct221005761
978468277
1038013937
111a504485
1210892981
137b4c870
145097693
15350d5c7
hex2440bf1

38013937 has 8 divisors (see below), whose sum is σ = 41064296. Its totient is φ = 34981632.

The previous prime is 38013907. The next prime is 38013959. The reversal of 38013937 is 73931083.

It can be written as a sum of positive squares in 4 ways, for example, as 80656 + 37933281 = 284^2 + 6159^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-38013937 is a prime.

It is not an unprimeable number, because it can be changed into a prime (38013907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43 + ... + 8719.

It is an arithmetic number, because the mean of its divisors is an integer number (5133037).

Almost surely, 238013937 is an apocalyptic number.

It is an amenable number.

38013937 is a deficient number, since it is larger than the sum of its proper divisors (3050359).

38013937 is a wasteful number, since it uses less digits than its factorization.

38013937 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9027.

The product of its (nonzero) digits is 13608, while the sum is 34.

The square root of 38013937 is about 6165.5443393102. The cubic root of 38013937 is about 336.2386372800.

The spelling of 38013937 in words is "thirty-eight million, thirteen thousand, nine hundred thirty-seven".

Divisors: 1 13 337 4381 8677 112801 2924149 38013937