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48955824 = 24321093119
BaseRepresentation
bin1011101011000…
…0000110110000
310102010012202200
42322300012300
5100013041244
64505143200
71133055231
oct272600660
9112105680
1048955824
11256a8265
121448ab00
13a1b1058
146705088
154470669
hex2eb01b0

48955824 has 60 divisors (see below), whose sum is σ = 138309600. Its totient is φ = 16163712.

The previous prime is 48955813. The next prime is 48955843. The reversal of 48955824 is 42855984.

It is a self number, because there is not a number n which added to its sum of digits gives 48955824.

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 11 ways as a sum of consecutive naturals, for example, 14137 + ... + 17255.

It is an arithmetic number, because the mean of its divisors is an integer number (2305160).

Almost surely, 248955824 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 48955824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69154800).

48955824 is an abundant number, since it is smaller than the sum of its proper divisors (89353776).

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

48955824 is a wasteful number, since it uses less digits than its factorization.

48955824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3242 (or 3233 counting only the distinct ones).

The product of its digits is 460800, while the sum is 45.

The square root of 48955824 is about 6996.8438599128. The cubic root of 48955824 is about 365.8205695785.

The spelling of 48955824 in words is "forty-eight million, nine hundred fifty-five thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 109 144 218 327 436 654 872 981 1308 1744 1962 2616 3119 3924 5232 6238 7848 9357 12476 15696 18714 24952 28071 37428 49904 56142 74856 112284 149712 224568 339971 449136 679942 1019913 1359884 2039826 2719768 3059739 4079652 5439536 6119478 8159304 12238956 16318608 24477912 48955824