Search a number
-
+
38896992 = 2532135059
BaseRepresentation
bin1001010001100…
…0010101100000
32201012011122100
42110120111200
534424200432
63505410400
7651422211
oct224302540
981164570
1038896992
111aa57982
1211039a00
13809b794
145247408
15363507c
hex2518560

38896992 has 36 divisors (see below), whose sum is σ = 110614140. Its totient is φ = 12965568.

The previous prime is 38896951. The next prime is 38896997. The reversal of 38896992 is 29969883.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38896997) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 67242 + ... + 67817.

It is an arithmetic number, because the mean of its divisors is an integer number (3072615).

Almost surely, 238896992 is an apocalyptic number.

38896992 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

38896992 is an abundant number, since it is smaller than the sum of its proper divisors (71717148).

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

38896992 is a wasteful number, since it uses less digits than its factorization.

38896992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135075 (or 135064 counting only the distinct ones).

The product of its digits is 1679616, while the sum is 54.

The square root of 38896992 is about 6236.7453050449. The cubic root of 38896992 is about 338.8223153211.

The spelling of 38896992 in words is "thirty-eight million, eight hundred ninety-six thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 135059 270118 405177 540236 810354 1080472 1215531 1620708 2160944 2431062 3241416 4321888 4862124 6482832 9724248 12965664 19448496 38896992