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48979000 = 235376997
BaseRepresentation
bin1011101011010…
…1110000111000
310102011101120001
42322311300320
5100014312000
64505442344
71133212630
oct272656070
9112141501
1048979000
1125713714
12144a03b4
13a1bb775
14670d6c0
15447746a
hex2eb5c38

48979000 has 64 divisors (see below), whose sum is σ = 131002560. Its totient is φ = 16790400.

The previous prime is 48978997. The next prime is 48979019. The reversal of 48979000 is 97984.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3502 + ... + 10498.

It is an arithmetic number, because the mean of its divisors is an integer number (2046915).

Almost surely, 248979000 is an apocalyptic number.

48979000 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 48979000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65501280).

48979000 is an abundant number, since it is smaller than the sum of its proper divisors (82023560).

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

48979000 is a wasteful number, since it uses less digits than its factorization.

48979000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7025 (or 7011 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 37.

The square root of 48979000 is about 6998.4998392513. The cubic root of 48979000 is about 365.8782877367.

The spelling of 48979000 in words is "forty-eight million, nine hundred seventy-nine thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 175 200 250 280 350 500 700 875 1000 1400 1750 3500 6997 7000 13994 27988 34985 48979 55976 69970 97958 139940 174925 195916 244895 279880 349850 391832 489790 699700 874625 979580 1224475 1399400 1749250 1959160 2448950 3498500 4897900 6122375 6997000 9795800 12244750 24489500 48979000