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238463056 = 24132293041
BaseRepresentation
bin11100011011010…
…10100001010000
3121121201011211001
432031222201100
5442021304211
635355031344
75623621366
oct1615524120
9547634731
10238463056
11112673907
1267a3b554
133a533400
1423955636
1515e05ac1
hexe36a850

238463056 has 60 divisors (see below), whose sum is σ = 517717980. Its totient is φ = 106229760.

The previous prime is 238463051. The next prime is 238463107. The reversal of 238463056 is 650364832.

It can be written as a sum of positive squares in 6 ways, for example, as 810000 + 237653056 = 900^2 + 15416^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (238463051) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 76896 + ... + 79936.

It is an arithmetic number, because the mean of its divisors is an integer number (8628633).

Almost surely, 2238463056 is an apocalyptic number.

238463056 is a gapful number since it is divisible by the number (26) 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 238463056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258858990).

238463056 is an abundant number, since it is smaller than the sum of its proper divisors (279254924).

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

238463056 is a wasteful number, since it uses less digits than its factorization.

238463056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3104 (or 3085 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 37.

The square root of 238463056 is about 15442.2490589940. The cubic root of 238463056 is about 620.1170920021.

The spelling of 238463056 in words is "two hundred thirty-eight million, four hundred sixty-three thousand, fifty-six".

Divisors: 1 2 4 8 13 16 26 29 52 58 104 116 169 208 232 338 377 464 676 754 1352 1508 2704 3016 3041 4901 6032 6082 9802 12164 19604 24328 39208 39533 48656 78416 79066 88189 158132 176378 316264 352756 513929 632528 705512 1027858 1146457 1411024 2055716 2292914 4111432 4585828 8222864 9171656 14903941 18343312 29807882 59615764 119231528 238463056