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48057232 = 2417219547
BaseRepresentation
bin1011011101010…
…0101110010000
310100102120010111
42313110232100
544300312412
64434011104
71122323356
oct267245620
9110376114
1048057232
1125144123
1214116a94
139c58042
14654d7d6
1543442a7
hex2dd4b90

48057232 has 60 divisors (see below), whose sum is σ = 104306320. Its totient is φ = 21385728.

The previous prime is 48057227. The next prime is 48057239. The reversal of 48057232 is 23275084.

48057232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 48057194 and 48057203.

It is not an unprimeable number, because it can be changed into a prime (48057239) 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 11 ways as a sum of consecutive naturals, for example, 87583 + ... + 88129.

Almost surely, 248057232 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 48057232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52153160).

48057232 is an abundant number, since it is smaller than the sum of its proper divisors (56249088).

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

48057232 is a wasteful number, since it uses less digits than its factorization.

48057232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 608 (or 585 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 31.

The square root of 48057232 is about 6932.3323636421. The cubic root of 48057232 is about 363.5685020941.

The spelling of 48057232 in words is "forty-eight million, fifty-seven thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 17 19 34 38 68 76 136 152 272 289 304 323 547 578 646 1094 1156 1292 2188 2312 2584 4376 4624 5168 5491 8752 9299 10393 10982 18598 20786 21964 37196 41572 43928 74392 83144 87856 148784 158083 166288 176681 316166 353362 632332 706724 1264664 1413448 2529328 2826896 3003577 6007154 12014308 24028616 48057232