Search a number
-
+
38176068 = 2237597703
BaseRepresentation
bin1001000110100…
…0010101000100
32122211112201110
42101220111010
534233113233
63442125020
7642330330
oct221502504
978745643
1038176068
111a605277
1210950770
137ba85b8
1450da7c0
153541663
hex2468544

38176068 has 48 divisors (see below), whose sum is σ = 103541760. Its totient is φ = 10721184.

The previous prime is 38176049. The next prime is 38176069. The reversal of 38176068 is 86067183.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38176069) 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, 1105 + ... + 8807.

It is an arithmetic number, because the mean of its divisors is an integer number (2157120).

Almost surely, 238176068 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 38176068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51770880).

38176068 is an abundant number, since it is smaller than the sum of its proper divisors (65365692).

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

38176068 is a wasteful number, since it uses less digits than its factorization.

38176068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7776 (or 7774 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 38176068 is about 6178.6784994851. The cubic root of 38176068 is about 336.7159831469.

The spelling of 38176068 in words is "thirty-eight million, one hundred seventy-six thousand, sixty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 59 84 118 177 236 354 413 708 826 1239 1652 2478 4956 7703 15406 23109 30812 46218 53921 92436 107842 161763 215684 323526 454477 647052 908954 1363431 1817908 2726862 3181339 5453724 6362678 9544017 12725356 19088034 38176068