Search a number
-
+
38183076 = 2235163241
BaseRepresentation
bin1001000110101…
…0000010100100
32122211220100000
42101222002210
534233324301
63442221300
7642356631
oct221520244
978756300
1038183076
111a60a568
1210954830
137bab849
1450dd188
153543786
hex246a0a4

38183076 has 72 divisors (see below), whose sum is σ = 101125024. Its totient is φ = 12597120.

The previous prime is 38183069. The next prime is 38183077. The reversal of 38183076 is 67038183.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 38183076.

It is not an unprimeable number, because it can be changed into a prime (38183077) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 158316 + ... + 158556.

Almost surely, 238183076 is an apocalyptic number.

38183076 is a gapful number since it is divisible by the number (36) 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 38183076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50562512).

38183076 is an abundant number, since it is smaller than the sum of its proper divisors (62941948).

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

38183076 is a wasteful number, since it uses less digits than its factorization.

38183076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 38183076 is about 6179.2455850209. The cubic root of 38183076 is about 336.7365855937.

The spelling of 38183076 in words is "thirty-eight million, one hundred eighty-three thousand, seventy-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 163 241 243 324 326 482 486 489 652 723 964 972 978 1446 1467 1956 2169 2892 2934 4338 4401 5868 6507 8676 8802 13014 13203 17604 19521 26028 26406 39042 39283 39609 52812 58563 78084 78566 79218 117126 117849 157132 158436 234252 235698 353547 471396 707094 1060641 1414188 2121282 3181923 4242564 6363846 9545769 12727692 19091538 38183076