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48144520 = 23523431217
BaseRepresentation
bin1011011110101…
…0000010001000
310100120222212101
42313222002020
544311111040
64435523144
71123136014
oct267520210
9110528771
1048144520
11251a3766
12141594b4
139c889a8
146573544
15436009a
hex2dea088

48144520 has 64 divisors (see below), whose sum is σ = 115758720. Its totient is φ = 17977344.

The previous prime is 48144491. The next prime is 48144529. The reversal of 48144520 is 2544184.

It is not an unprimeable number, because it can be changed into a prime (48144529) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 38952 + ... + 40168.

It is an arithmetic number, because the mean of its divisors is an integer number (1808730).

Almost surely, 248144520 is an apocalyptic number.

48144520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48144520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57879360).

48144520 is an abundant number, since it is smaller than the sum of its proper divisors (67614200).

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

48144520 is a wasteful number, since it uses less digits than its factorization.

48144520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1294 (or 1290 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 28.

The square root of 48144520 is about 6938.6252240628. The cubic root of 48144520 is about 363.7884896073.

The spelling of 48144520 in words is "forty-eight million, one hundred forty-four thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 20 23 40 43 46 86 92 115 172 184 215 230 344 430 460 860 920 989 1217 1720 1978 2434 3956 4868 4945 6085 7912 9736 9890 12170 19780 24340 27991 39560 48680 52331 55982 104662 111964 139955 209324 223928 261655 279910 418648 523310 559820 1046620 1119640 1203613 2093240 2407226 4814452 6018065 9628904 12036130 24072260 48144520