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238987464 = 23343367631
BaseRepresentation
bin11100011111010…
…10100011001000
3121122200211011120
432033222203020
5442140044324
635414155240
75631234312
oct1617524310
9548624146
10238987464
111129a1901
1268052b20
133a688001
1423a507b2
1515eab179
hexe3ea8c8

238987464 has 64 divisors (see below), whose sum is σ = 614000640. Its totient is φ = 77474880.

The previous prime is 238987439. The next prime is 238987481. The reversal of 238987464 is 464789832.

238987464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 378429 + ... + 379059.

It is an arithmetic number, because the mean of its divisors is an integer number (9593760).

Almost surely, 2238987464 is an apocalyptic number.

238987464 is a gapful number since it is divisible by the number (24) 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 238987464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307000320).

238987464 is an abundant number, since it is smaller than the sum of its proper divisors (375013176).

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

238987464 is a wasteful number, since it uses less digits than its factorization.

238987464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1050 (or 1046 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 51.

The square root of 238987464 is about 15459.2193852083. The cubic root of 238987464 is about 620.5713290653.

The spelling of 238987464 in words is "two hundred thirty-eight million, nine hundred eighty-seven thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 24 43 86 129 172 258 344 367 516 631 734 1032 1101 1262 1468 1893 2202 2524 2936 3786 4404 5048 7572 8808 15144 15781 27133 31562 47343 54266 63124 81399 94686 108532 126248 162798 189372 217064 231577 325596 378744 463154 651192 694731 926308 1389462 1852616 2778924 5557848 9957811 19915622 29873433 39831244 59746866 79662488 119493732 238987464