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38472168 = 2337733137
BaseRepresentation
bin1001001011000…
…0100111101000
32200101120220010
42102300213220
534322102133
63452331520
7645002520
oct222604750
980346803
1038472168
111a797789
1210a73ba0
137c802c7
145176680
15359e263
hex24b09e8

38472168 has 64 divisors (see below), whose sum is σ = 111461760. Its totient is φ = 10838016.

The previous prime is 38472163. The next prime is 38472197. The reversal of 38472168 is 86127483.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (38472163) 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 15 ways as a sum of consecutive naturals, for example, 10696 + ... + 13832.

It is an arithmetic number, because the mean of its divisors is an integer number (1741590).

Almost surely, 238472168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38472168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55730880).

38472168 is an abundant number, since it is smaller than the sum of its proper divisors (72989592).

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

38472168 is a wasteful number, since it uses less digits than its factorization.

38472168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3226 (or 3222 counting only the distinct ones).

The product of its digits is 64512, while the sum is 39.

The square root of 38472168 is about 6202.5936510463. The cubic root of 38472168 is about 337.5842840254.

The spelling of 38472168 in words is "thirty-eight million, four hundred seventy-two thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 73 84 146 168 219 292 438 511 584 876 1022 1533 1752 2044 3066 3137 4088 6132 6274 9411 12264 12548 18822 21959 25096 37644 43918 65877 75288 87836 131754 175672 229001 263508 458002 527016 687003 916004 1374006 1603007 1832008 2748012 3206014 4809021 5496024 6412028 9618042 12824056 19236084 38472168