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238952480 = 2551328837
BaseRepresentation
bin11100011111000…
…10000000100000
3121122122001011212
432033202000200
5442132434410
635413325252
75631030314
oct1617420040
9548561155
10238952480
11112978598
1268036828
133a675100
1423a41b44
1515ea0b05
hexe3e2020

238952480 has 72 divisors (see below), whose sum is σ = 611359812. Its totient is φ = 88218624.

The previous prime is 238952477. The next prime is 238952491. The reversal of 238952480 is 84259832.

It can be written as a sum of positive squares in 6 ways, for example, as 100560784 + 138391696 = 10028^2 + 11764^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22622 + ... + 31458.

Almost surely, 2238952480 is an apocalyptic number.

238952480 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 238952480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305679906).

238952480 is an abundant number, since it is smaller than the sum of its proper divisors (372407332).

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

238952480 is a wasteful number, since it uses less digits than its factorization.

238952480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8878 (or 8857 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 41.

The square root of 238952480 is about 15458.0878507013. The cubic root of 238952480 is about 620.5410469653.

The spelling of 238952480 in words is "two hundred thirty-eight million, nine hundred fifty-two thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 169 208 260 338 416 520 676 845 1040 1352 1690 2080 2704 3380 5408 6760 8837 13520 17674 27040 35348 44185 70696 88370 114881 141392 176740 229762 282784 353480 459524 574405 706960 919048 1148810 1413920 1493453 1838096 2297620 2986906 3676192 4595240 5973812 7467265 9190480 11947624 14934530 18380960 23895248 29869060 47790496 59738120 119476240 238952480