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48828024 = 23327195099
BaseRepresentation
bin1011101001000…
…0111001111000
310101212201110100
42322100321320
544444444044
64502315400
71132013520
oct272207170
9111781410
1048828024
1125620243
1214428b60
13a167b2b
1466b0680
154447869
hex2e90e78

48828024 has 96 divisors (see below), whose sum is σ = 159120000. Its totient is φ = 13214016.

The previous prime is 48827993. The next prime is 48828037. The reversal of 48828024 is 42082884.

48828024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 48828024.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 7027 + ... + 12125.

It is an arithmetic number, because the mean of its divisors is an integer number (1657500).

Almost surely, 248828024 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 48828024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79560000).

48828024 is an abundant number, since it is smaller than the sum of its proper divisors (110291976).

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

48828024 is a wasteful number, since it uses less digits than its factorization.

48828024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5137 (or 5130 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The square root of 48828024 is about 6987.7052027114. The cubic root of 48828024 is about 365.5019652651.

The spelling of 48828024 in words is "forty-eight million, eight hundred twenty-eight thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 19 21 24 28 36 38 42 56 57 63 72 76 84 114 126 133 152 168 171 228 252 266 342 399 456 504 532 684 798 1064 1197 1368 1596 2394 3192 4788 5099 9576 10198 15297 20396 30594 35693 40792 45891 61188 71386 91782 96881 107079 122376 142772 183564 193762 214158 285544 290643 321237 367128 387524 428316 581286 642474 678167 775048 856632 871929 1162572 1284948 1356334 1743858 2034501 2325144 2569896 2712668 3487716 4069002 5425336 6103503 6975432 8138004 12207006 16276008 24414012 48828024