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238792380 = 2235192931233
BaseRepresentation
bin11100011101110…
…10111010111100
3121122022220120020
432032322322330
5442112324010
635410052140
75626462461
oct1616727274
9548286506
10238792380
11112879282
1267b7a050
133a61a288
14239dd668
1515e6d470
hexe3baebc

238792380 has 192 divisors, whose sum is σ = 754790400. Its totient is φ = 56125440.

The previous prime is 238792357. The next prime is 238792403. The reversal of 238792380 is 83297832.

It is an interprime number because it is at equal distance from previous prime (238792357) and next prime (238792403).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1024744 + ... + 1024976.

It is an arithmetic number, because the mean of its divisors is an integer number (3931200).

Almost surely, 2238792380 is an apocalyptic number.

238792380 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 238792380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377395200).

238792380 is an abundant number, since it is smaller than the sum of its proper divisors (515998020).

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

238792380 is a wasteful number, since it uses less digits than its factorization.

238792380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 238792380 is about 15452.9084641047. The cubic root of 238792380 is about 620.4024269100.

The spelling of 238792380 in words is "two hundred thirty-eight million, seven hundred ninety-two thousand, three hundred eighty".