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48522656 = 2571319877
BaseRepresentation
bin1011100100011…
…0010110100000
310101022012120102
42321012112200
544410211111
64452001532
71126302320
oct271062640
9111265512
1048522656
1125431876
12143002a8
13a08bb40
146631280
1543d713b
hex2e465a0

48522656 has 96 divisors (see below), whose sum is σ = 123903360. Its totient is φ = 18164736.

The previous prime is 48522647. The next prime is 48522667. The reversal of 48522656 is 65622584.

It is a Harshad number since it is a multiple of its sum of digits (38).

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, 54890 + ... + 55766.

It is an arithmetic number, because the mean of its divisors is an integer number (1290660).

Almost surely, 248522656 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 48522656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61951680).

48522656 is an abundant number, since it is smaller than the sum of its proper divisors (75380704).

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

48522656 is a wasteful number, since it uses less digits than its factorization.

48522656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 926 (or 918 counting only the distinct ones).

The product of its digits is 115200, while the sum is 38.

The square root of 48522656 is about 6965.8205546798. The cubic root of 48522656 is about 364.7384277174.

The spelling of 48522656 in words is "forty-eight million, five hundred twenty-two thousand, six hundred fifty-six".

Divisors: 1 2 4 7 8 13 14 16 19 26 28 32 38 52 56 76 91 104 112 133 152 182 208 224 247 266 304 364 416 494 532 608 728 877 988 1064 1456 1729 1754 1976 2128 2912 3458 3508 3952 4256 6139 6916 7016 7904 11401 12278 13832 14032 16663 22802 24556 27664 28064 33326 45604 49112 55328 66652 79807 91208 98224 116641 133304 159614 182416 196448 216619 233282 266608 319228 364832 433238 466564 533216 638456 866476 933128 1276912 1516333 1732952 1866256 2553824 3032666 3465904 3732512 6065332 6931808 12130664 24261328 48522656