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48846280 = 2357434057
BaseRepresentation
bin1011101001010…
…1010111001000
310101220122111111
42322111113020
5100001040110
64502540104
71132120660
oct272252710
9111818444
1048846280
1125632a2a
1214437634
13a173232
1466b71a0
15444ce8a
hex2e955c8

48846280 has 64 divisors (see below), whose sum is σ = 128557440. Its totient is φ = 16353792.

The previous prime is 48846263. The next prime is 48846313. The reversal of 48846280 is 8264884.

48846280 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 (40).

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 15 ways as a sum of consecutive naturals, for example, 10012 + ... + 14068.

It is an arithmetic number, because the mean of its divisors is an integer number (2008710).

Almost surely, 248846280 is an apocalyptic number.

48846280 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 48846280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64278720).

48846280 is an abundant number, since it is smaller than the sum of its proper divisors (79711160).

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

48846280 is a wasteful number, since it uses less digits than its factorization.

48846280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4118 (or 4114 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 40.

The square root of 48846280 is about 6989.0113750086. The cubic root of 48846280 is about 365.5475113260.

The spelling of 48846280 in words is "forty-eight million, eight hundred forty-six thousand, two hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 43 56 70 86 140 172 215 280 301 344 430 602 860 1204 1505 1720 2408 3010 4057 6020 8114 12040 16228 20285 28399 32456 40570 56798 81140 113596 141995 162280 174451 227192 283990 348902 567980 697804 872255 1135960 1221157 1395608 1744510 2442314 3489020 4884628 6105785 6978040 9769256 12211570 24423140 48846280