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48760820 = 22537131503
BaseRepresentation
bin1011101000000…
…0011111110100
310101202022021022
42322000133310
544440321240
64501040312
71131313553
oct272003764
9111668238
1048760820
11255847a9
12143b6098
13a143374
146693d9a
1544329b5
hex2e807f4

48760820 has 48 divisors (see below), whose sum is σ = 106178688. Its totient is φ = 18794880.

The previous prime is 48760813. The next prime is 48760837. The reversal of 48760820 is 2806784.

48760820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 15 ways as a sum of consecutive naturals, for example, 96689 + ... + 97191.

It is an arithmetic number, because the mean of its divisors is an integer number (2212056).

Almost surely, 248760820 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 48760820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53089344).

48760820 is an abundant number, since it is smaller than the sum of its proper divisors (57417868).

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

48760820 is a wasteful number, since it uses less digits than its factorization.

48760820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 680 (or 678 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 35.

The square root of 48760820 is about 6982.8948151895. The cubic root of 48760820 is about 365.3342031905.

The spelling of 48760820 in words is "forty-eight million, seven hundred sixty thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 20 37 74 131 148 185 262 370 503 524 655 740 1006 1310 2012 2515 2620 4847 5030 9694 10060 18611 19388 24235 37222 48470 65893 74444 93055 96940 131786 186110 263572 329465 372220 658930 1317860 2438041 4876082 9752164 12190205 24380410 48760820