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48884416 = 267195743
BaseRepresentation
bin1011101001111…
…0101011000000
310101222120210221
42322132223000
5100003300131
64503432424
71132340110
oct272365300
9111876727
1048884416
1125659649
1214455714
13a1876b9
1466c7040
154459411
hex2e9eac0

48884416 has 56 divisors (see below), whose sum is σ = 116718080. Its totient is φ = 19844352.

The previous prime is 48884393. The next prime is 48884417. The reversal of 48884416 is 61448884.

48884416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×488844162 = 4779372255322112, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (48884417) 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 7 ways as a sum of consecutive naturals, for example, 5641 + ... + 11383.

Almost surely, 248884416 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 48884416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58359040).

48884416 is an abundant number, since it is smaller than the sum of its proper divisors (67833664).

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

48884416 is a wasteful number, since it uses less digits than its factorization.

48884416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5781 (or 5771 counting only the distinct ones).

The product of its digits is 196608, while the sum is 43.

The square root of 48884416 is about 6991.7391255681. The cubic root of 48884416 is about 365.6426184901.

The spelling of 48884416 in words is "forty-eight million, eight hundred eighty-four thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 64 76 112 133 152 224 266 304 448 532 608 1064 1216 2128 4256 5743 8512 11486 22972 40201 45944 80402 91888 109117 160804 183776 218234 321608 367552 436468 643216 763819 872936 1286432 1527638 1745872 2572864 3055276 3491744 6110552 6983488 12221104 24442208 48884416