Search a number
-
+
38672280 = 23325177189
BaseRepresentation
bin1001001110000…
…1011110011000
32200202202101200
42103201132120
534400003110
63500514200
7646465113
oct223413630
980682350
1038672280
111a914069
1210b4b960
13802040a
1451c957a
1535dd6c0
hex24e1798

38672280 has 192 divisors, whose sum is σ = 136468800. Its totient is φ = 9461760.

The previous prime is 38672243. The next prime is 38672281. The reversal of 38672280 is 8227683.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38672281) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 434476 + ... + 434564.

It is an arithmetic number, because the mean of its divisors is an integer number (710775).

Almost surely, 238672280 is an apocalyptic number.

38672280 is a gapful number since it is divisible by the number (30) 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 38672280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68234400).

38672280 is an abundant number, since it is smaller than the sum of its proper divisors (97796520).

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

38672280 is a wasteful number, since it uses less digits than its factorization.

38672280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 38672280 is about 6218.7040450563. The cubic root of 38672280 is about 338.1685841319.

The spelling of 38672280 in words is "thirty-eight million, six hundred seventy-two thousand, two hundred eighty".