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238427696 = 241331103359
BaseRepresentation
bin11100011011000…
…01111000110000
3121121122101022102
432031201320300
5442014141241
635354155532
75623413323
oct1615417060
9547571272
10238427696
1111264a291
1267a22ba8
133a5202a0
14239467ba
1515dea39b
hexe361e30

238427696 has 80 divisors (see below), whose sum is σ = 519966720. Its totient is φ = 105166080.

The previous prime is 238427687. The next prime is 238427699. The reversal of 238427696 is 696724832.

It is a self number, because there is not a number n which added to its sum of digits gives 238427696.

It is not an unprimeable number, because it can be changed into a prime (238427699) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 663965 + ... + 664323.

It is an arithmetic number, because the mean of its divisors is an integer number (6499584).

Almost surely, 2238427696 is an apocalyptic number.

238427696 is a gapful number since it is divisible by the number (26) 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 238427696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259983360).

238427696 is an abundant number, since it is smaller than the sum of its proper divisors (281539024).

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

238427696 is a wasteful number, since it uses less digits than its factorization.

238427696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514 (or 508 counting only the distinct ones).

The product of its digits is 870912, while the sum is 47.

The square root of 238427696 is about 15441.1041056007. The cubic root of 238427696 is about 620.0864395611.

The spelling of 238427696 in words is "two hundred thirty-eight million, four hundred twenty-seven thousand, six hundred ninety-six".

Divisors: 1 2 4 8 13 16 26 31 52 62 103 104 124 206 208 248 359 403 412 496 718 806 824 1339 1436 1612 1648 2678 2872 3193 3224 4667 5356 5744 6386 6448 9334 10712 11129 12772 18668 21424 22258 25544 36977 37336 41509 44516 51088 73954 74672 83018 89032 144677 147908 166036 178064 289354 295816 332072 480701 578708 591632 664144 961402 1146287 1157416 1922804 2292574 2314832 3845608 4585148 7691216 9170296 14901731 18340592 29803462 59606924 119213848 238427696