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48976928 = 25711213139
BaseRepresentation
bin1011101011010…
…1010000100000
310102011021201022
42322311100200
5100014230203
64505425012
71133203610
oct272652040
9112137638
1048976928
1125712100
121449b168
13a1ba840
14670ca40
154476a38
hex2eb5420

48976928 has 144 divisors (see below), whose sum is σ = 131382720. Its totient is φ = 17487360.

The previous prime is 48976909. The next prime is 48976943. The reversal of 48976928 is 82967984.

It is a self number, because there is not a number n which added to its sum of digits gives 48976928.

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 23 ways as a sum of consecutive naturals, for example, 352283 + ... + 352421.

It is an arithmetic number, because the mean of its divisors is an integer number (912380).

Almost surely, 248976928 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 48976928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65691360).

48976928 is an abundant number, since it is smaller than the sum of its proper divisors (82405792).

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

48976928 is a wasteful number, since it uses less digits than its factorization.

48976928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 172 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 53.

The square root of 48976928 is about 6998.3518059612. The cubic root of 48976928 is about 365.8731283112.

The spelling of 48976928 in words is "forty-eight million, nine hundred seventy-six thousand, nine hundred twenty-eight".

Divisors: 1 2 4 7 8 11 13 14 16 22 26 28 32 44 52 56 77 88 91 104 112 121 139 143 154 176 182 208 224 242 278 286 308 352 364 416 484 556 572 616 728 847 968 973 1001 1112 1144 1232 1456 1529 1573 1694 1807 1936 1946 2002 2224 2288 2464 2912 3058 3146 3388 3614 3872 3892 4004 4448 4576 6116 6292 6776 7228 7784 8008 10703 11011 12232 12584 12649 13552 14456 15568 16016 16819 19877 21406 22022 24464 25168 25298 27104 28912 31136 32032 33638 39754 42812 44044 48928 50336 50596 57824 67276 79508 85624 88088 101192 117733 134552 139139 159016 171248 176176 202384 218647 235466 269104 278278 318032 342496 352352 404768 437294 470932 538208 556556 636064 874588 941864 1113112 1530529 1749176 1883728 2226224 3061058 3498352 3767456 4452448 6122116 6996704 12244232 24488464 48976928