Search a number
-
+
38213538 = 23114797127
BaseRepresentation
bin1001000111000…
…1011110100010
32122220110010020
42101301132202
534240313123
63443014310
7642544506
oct221613642
978813106
1038213538
111a630440
121096a396
137bbc67c
14510a306
15354c7e3
hex24717a2

38213538 has 64 divisors (see below), whose sum is σ = 86704128. Its totient is φ = 11128320.

The previous prime is 38213537. The next prime is 38213611. The reversal of 38213538 is 83531283.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 38213499 and 38213508.

It is not an unprimeable number, because it can be changed into a prime (38213531) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 300831 + ... + 300957.

It is an arithmetic number, because the mean of its divisors is an integer number (1354752).

Almost surely, 238213538 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38213538, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43352064).

38213538 is an abundant number, since it is smaller than the sum of its proper divisors (48490590).

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

38213538 is a wasteful number, since it uses less digits than its factorization.

38213538 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287.

The product of its digits is 17280, while the sum is 33.

The square root of 38213538 is about 6181.7099576088. The cubic root of 38213538 is about 336.8261099270.

The spelling of 38213538 in words is "thirty-eight million, two hundred thirteen thousand, five hundred thirty-eight".

Divisors: 1 2 3 6 11 22 33 47 66 94 97 127 141 194 254 282 291 381 517 582 762 1034 1067 1397 1551 2134 2794 3102 3201 4191 4559 5969 6402 8382 9118 11938 12319 13677 17907 24638 27354 35814 36957 50149 65659 73914 100298 131318 135509 150447 196977 271018 300894 393954 406527 578993 813054 1157986 1736979 3473958 6368923 12737846 19106769 38213538