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238452480 = 2832572957
BaseRepresentation
bin11100011011001…
…11111100000000
3121121200122022100
432031213330000
5442020434410
635354510400
75623545510
oct1615477400
9547618270
10238452480
11112666972
1267a35400
133a52b656
1423951840
1515e028c0
hexe367f00

238452480 has 216 divisors, whose sum is σ = 943199712. Its totient is φ = 54484992.

The previous prime is 238452469. The next prime is 238452491. The reversal of 238452480 is 84254832.

238452480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (238452469) and next prime (238452491).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79162 + ... + 82118.

Almost surely, 2238452480 is an apocalyptic number.

238452480 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 238452480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471599856).

238452480 is an abundant number, since it is smaller than the sum of its proper divisors (704747232).

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

238452480 is a wasteful number, since it uses less digits than its factorization.

238452480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2991 (or 2974 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 238452480 is about 15441.9066180313. The cubic root of 238452480 is about 620.1079243272.

The spelling of 238452480 in words is "two hundred thirty-eight million, four hundred fifty-two thousand, four hundred eighty".