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48025040 = 2457191449
BaseRepresentation
bin1011011100110…
…0110111010000
310100100220222012
42313030313100
544243300130
64433202052
71122130460
oct267146720
9110326865
1048025040
1125121a18
1214100328
139c464ab
146541ba0
154339995
hex2dccdd0

48025040 has 80 divisors (see below), whose sum is σ = 128563200. Its totient is φ = 16343040.

The previous prime is 48025031. The next prime is 48025067. The reversal of 48025040 is 4052084.

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

It is a junction number, because it is equal to n+sod(n) for n = 48024997 and 48025015.

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, 106736 + ... + 107184.

It is an arithmetic number, because the mean of its divisors is an integer number (1607040).

Almost surely, 248025040 is an apocalyptic number.

48025040 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 48025040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64281600).

48025040 is an abundant number, since it is smaller than the sum of its proper divisors (80538160).

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

48025040 is a wasteful number, since it uses less digits than its factorization.

48025040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 660 (or 654 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 23.

The square root of 48025040 is about 6930.0101010027. The cubic root of 48025040 is about 363.4873029968.

The spelling of 48025040 in words is "forty-eight million, twenty-five thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 191 280 382 449 560 764 898 955 1337 1528 1796 1910 2245 2674 3056 3143 3592 3820 4490 5348 6286 6685 7184 7640 8980 10696 12572 13370 15280 15715 17960 21392 25144 26740 31430 35920 50288 53480 62860 85759 106960 125720 171518 251440 343036 428795 600313 686072 857590 1200626 1372144 1715180 2401252 3001565 3430360 4802504 6003130 6860720 9605008 12006260 24012520 48025040