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238798560 = 253572111371
BaseRepresentation
bin11100011101111…
…00011011100000
3121122100020001010
432032330123200
5442113023220
635410140520
75626516500
oct1616743340
9548306033
10238798560
11112882990
1267b81740
133a620030
1423a01a00
1515e701e0
hexe3bc6e0

238798560 has 576 divisors, whose sum is σ = 1042481664. Its totient is φ = 45158400.

The previous prime is 238798531. The next prime is 238798561. The reversal of 238798560 is 65897832.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (238798561) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3363325 + ... + 3363395.

It is an arithmetic number, because the mean of its divisors is an integer number (1809864).

Almost surely, 2238798560 is an apocalyptic number.

238798560 is a gapful number since it is divisible by the number (20) 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 238798560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521240832).

238798560 is an abundant number, since it is smaller than the sum of its proper divisors (803683104).

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

238798560 is a wasteful number, since it uses less digits than its factorization.

238798560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The square root of 238798560 is about 15453.1084251681. The cubic root of 238798560 is about 620.4077789149.

The spelling of 238798560 in words is "two hundred thirty-eight million, seven hundred ninety-eight thousand, five hundred sixty".