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238889248 = 25131513803
BaseRepresentation
bin11100011110100…
…10100100100000
3121122111211102221
432033102210200
5442123423443
635412120424
75630345053
oct1617224440
9548454387
10238889248
11112935034
1268006114
133a6523b0
1423a26a9a
1515e8beed
hexe3d2920

238889248 has 48 divisors (see below), whose sum is σ = 509979456. Its totient is φ = 109497600.

The previous prime is 238889221. The next prime is 238889249. The reversal of 238889248 is 842988832.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a junction number, because it is equal to n+sod(n) for n = 238889195 and 238889204.

It is not an unprimeable number, because it can be changed into a prime (238889249) 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, 60915 + ... + 64717.

It is an arithmetic number, because the mean of its divisors is an integer number (10624572).

Almost surely, 2238889248 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 238889248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254989728).

238889248 is an abundant number, since it is smaller than the sum of its proper divisors (271090208).

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

238889248 is a wasteful number, since it uses less digits than its factorization.

238889248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3977 (or 3969 counting only the distinct ones).

The product of its digits is 1769472, while the sum is 52.

The square root of 238889248 is about 15456.0424430059. The cubic root of 238889248 is about 620.4863059375.

The spelling of 238889248 in words is "two hundred thirty-eight million, eight hundred eighty-nine thousand, two hundred forty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 104 151 208 302 416 604 1208 1963 2416 3803 3926 4832 7606 7852 15212 15704 30424 31408 49439 60848 62816 98878 121696 197756 395512 574253 791024 1148506 1582048 2297012 4594024 7465289 9188048 14930578 18376096 29861156 59722312 119444624 238889248