Search a number
-
+
38114112 = 2631791109
BaseRepresentation
bin1001000101100…
…1001101000000
32122201101201210
42101121031000
534224122422
63440530120
7641651601
oct221311500
978641653
1038114112
111a572773
1210920940
137b8633a
1450c1da8
15352d10c
hex2459340

38114112 has 56 divisors (see below), whose sum is σ = 101498400. Its totient is φ = 12622336.

The previous prime is 38114101. The next prime is 38114117. The reversal of 38114112 is 21141183.

It is a happy number.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38114117) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33814 + ... + 34922.

Almost surely, 238114112 is an apocalyptic number.

38114112 is a gapful number since it is divisible by the number (32) 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 38114112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50749200).

38114112 is an abundant number, since it is smaller than the sum of its proper divisors (63384288).

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

38114112 is a wasteful number, since it uses less digits than its factorization.

38114112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1303 (or 1293 counting only the distinct ones).

The product of its digits is 192, while the sum is 21.

The square root of 38114112 is about 6173.6627701876. The cubic root of 38114112 is about 336.5337322223.

Adding to 38114112 its reverse (21141183), we get a palindrome (59255295).

It can be divided in two parts, 38114 and 112, that added together give a triangular number (38226 = T276).

The spelling of 38114112 in words is "thirty-eight million, one hundred fourteen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 179 192 358 537 716 1074 1109 1432 2148 2218 2864 3327 4296 4436 5728 6654 8592 8872 11456 13308 17184 17744 26616 34368 35488 53232 70976 106464 198511 212928 397022 595533 794044 1191066 1588088 2382132 3176176 4764264 6352352 9528528 12704704 19057056 38114112