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238621264 = 2475361659
BaseRepresentation
bin11100011100100…
…01001001010000
3121122000012211121
432032101021100
5442041340024
635402252024
75625150550
oct1616211120
9548005747
10238621264
11112771762
1267ab7014
133a58a41b
1423997160
1515e378e4
hexe391250

238621264 has 80 divisors (see below), whose sum is σ = 548000640. Its totient is φ = 98542080.

The previous prime is 238621259. The next prime is 238621277. The reversal of 238621264 is 462126832.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 361767 + ... + 362425.

It is an arithmetic number, because the mean of its divisors is an integer number (6850008).

Almost surely, 2238621264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 238621264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274000320).

238621264 is an abundant number, since it is smaller than the sum of its proper divisors (309379376).

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

238621264 is a wasteful number, since it uses less digits than its factorization.

238621264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 788 (or 782 counting only the distinct ones).

The product of its digits is 27648, while the sum is 34.

The square root of 238621264 is about 15447.3707795210. The cubic root of 238621264 is about 620.2542003074.

The spelling of 238621264 in words is "two hundred thirty-eight million, six hundred twenty-one thousand, two hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 53 56 61 106 112 122 212 244 371 424 427 488 659 742 848 854 976 1318 1484 1708 2636 2968 3233 3416 4613 5272 5936 6466 6832 9226 10544 12932 18452 22631 25864 34927 36904 40199 45262 51728 69854 73808 80398 90524 139708 160796 181048 244489 279416 281393 321592 362096 488978 558832 562786 643184 977956 1125572 1955912 2130547 2251144 3911824 4261094 4502288 8522188 14913829 17044376 29827658 34088752 59655316 119310632 238621264