Search a number
-
+
38990180 = 22517412797
BaseRepresentation
bin1001010010111…
…1000101100100
32201100220110202
42110233011210
534440141210
63511410032
7652260665
oct224570544
981326422
1038990180
1120010999
1211083918
138102018
14526d36c
1536529a5
hex252f164

38990180 has 48 divisors (see below), whose sum is σ = 88842096. Its totient is φ = 14315520.

The previous prime is 38990179. The next prime is 38990183. The reversal of 38990180 is 8109983.

38990180 is nontrivially palindromic in base 13.

It can be written as a sum of positive squares in 8 ways, for example, as 252004 + 38738176 = 502^2 + 6224^2 .

It is a super-4 number, since 4×389901804 (a number of 31 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (38990183) 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, 12542 + ... + 15338.

It is an arithmetic number, because the mean of its divisors is an integer number (1850877).

Almost surely, 238990180 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 38990180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44421048).

38990180 is an abundant number, since it is smaller than the sum of its proper divisors (49851916).

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

38990180 is a wasteful number, since it uses less digits than its factorization.

38990180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2864 (or 2862 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 38.

The square root of 38990180 is about 6244.2117196649. The cubic root of 38990180 is about 339.0926789238.

The spelling of 38990180 in words is "thirty-eight million, nine hundred ninety thousand, one hundred eighty".

Divisors: 1 2 4 5 10 17 20 34 41 68 82 85 164 170 205 340 410 697 820 1394 2788 2797 3485 5594 6970 11188 13940 13985 27970 47549 55940 95098 114677 190196 229354 237745 458708 475490 573385 950980 1146770 1949509 2293540 3899018 7798036 9747545 19495090 38990180