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48880720 = 2457191457
BaseRepresentation
bin1011101001110…
…1110001010000
310101222101202001
42322131301100
5100003140340
64503403344
71132323250
oct272356120
9111871661
1048880720
1125656899
1214453554
13a185b05
1466c5960
15445829a
hex2e9dc50

48880720 has 80 divisors (see below), whose sum is σ = 130848768. Its totient is φ = 16634880.

The previous prime is 48880717. The next prime is 48880751. The reversal of 48880720 is 2708884.

48880720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 48880720.

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, 106732 + ... + 107188.

Almost surely, 248880720 is an apocalyptic number.

48880720 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 48880720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65424384).

48880720 is an abundant number, since it is smaller than the sum of its proper divisors (81968048).

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

48880720 is a wasteful number, since it uses less digits than its factorization.

48880720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 668 (or 662 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 37.

The square root of 48880720 is about 6991.4748086509. The cubic root of 48880720 is about 365.6334032208.

The spelling of 48880720 in words is "forty-eight million, eight hundred eighty thousand, seven hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 191 280 382 457 560 764 914 955 1337 1528 1828 1910 2285 2674 3056 3199 3656 3820 4570 5348 6398 6685 7312 7640 9140 10696 12796 13370 15280 15995 18280 21392 25592 26740 31990 36560 51184 53480 63980 87287 106960 127960 174574 255920 349148 436435 611009 698296 872870 1222018 1396592 1745740 2444036 3055045 3491480 4888072 6110090 6982960 9776144 12220180 24440360 48880720