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238872480 = 253571123281
BaseRepresentation
bin11100011110011…
…10011110100000
3121122110222102220
432033032132200
5442122404410
635411511040
75630245140
oct1617163640
9548428386
10238872480
11112923480
1267bb8480
133a647882
1423a20920
1515e87070
hexe3ce7a0

238872480 has 384 divisors, whose sum is σ = 982388736. Its totient is φ = 47308800.

The previous prime is 238872463. The next prime is 238872493. The reversal of 238872480 is 84278832.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 849940 + ... + 850220.

It is an arithmetic number, because the mean of its divisors is an integer number (2558304).

Almost surely, 2238872480 is an apocalyptic number.

238872480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is a pronic number, being equal to 15455×15456.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 238872480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491194368).

238872480 is an abundant number, since it is smaller than the sum of its proper divisors (743516256).

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

238872480 is a wasteful number, since it uses less digits than its factorization.

238872480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 42.

The square root of 238872480 is about 15455.4999919123. The cubic root of 238872480 is about 620.4717879717.

The spelling of 238872480 in words is "two hundred thirty-eight million, eight hundred seventy-two thousand, four hundred eighty".