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48854848 = 267167653
BaseRepresentation
bin1011101001011…
…1011101000000
310101221002020211
42322113131000
5100001323343
64503043504
71132154650
oct272273500
9111832224
1048854848
1125639409
1214440594
13a1770c3
1466ba360
15445079d
hex2e97740

48854848 has 56 divisors (see below), whose sum is σ = 111629952. Its totient is φ = 20780544.

The previous prime is 48854843. The next prime is 48854863. The reversal of 48854848 is 84845884.

It is a happy number.

48854848 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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (48854843) 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, 74490 + ... + 75142.

It is an arithmetic number, because the mean of its divisors is an integer number (1993392).

Almost surely, 248854848 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 48854848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55814976).

48854848 is an abundant number, since it is smaller than the sum of its proper divisors (62775104).

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

48854848 is a wasteful number, since it uses less digits than its factorization.

48854848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 839 (or 829 counting only the distinct ones).

The product of its digits is 1310720, while the sum is 49.

The square root of 48854848 is about 6989.6243103618. The cubic root of 48854848 is about 365.5688833251.

The spelling of 48854848 in words is "forty-eight million, eight hundred fifty-four thousand, eight hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 167 224 334 448 653 668 1169 1306 1336 2338 2612 2672 4571 4676 5224 5344 9142 9352 10448 10688 18284 18704 20896 36568 37408 41792 73136 74816 109051 146272 218102 292544 436204 763357 872408 1526714 1744816 3053428 3489632 6106856 6979264 12213712 24427424 48854848