Base | Representation |
---|---|
bin | 1011011111010… |
… | …0100000110000 |
3 | 10100200011202000 |
4 | 2313310200300 |
5 | 44313444230 |
6 | 4440454000 |
7 | 1123405110 |
oct | 267644060 |
9 | 110604660 |
10 | 48187440 |
11 | 25222a34 |
12 | 1417a300 |
13 | 9ca23a2 |
14 | 6585040 |
15 | 436cb60 |
hex | 2df4830 |
48187440 has 160 divisors (see below), whose sum is σ = 189749760. Its totient is φ = 11010816.
The previous prime is 48187427. The next prime is 48187453. The reversal of 48187440 is 4478184.
It is a happy number.
It is an interprime number because it is at equal distance from previous prime (48187427) and next prime (48187453).
It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 48187395 and 48187404.
It is an unprimeable number.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13527 + ... + 16713.
It is an arithmetic number, because the mean of its divisors is an integer number (1185936).
Almost surely, 248187440 is an apocalyptic number.
48187440 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 48187440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94874880).
48187440 is an abundant number, since it is smaller than the sum of its proper divisors (141562320).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
48187440 is a wasteful number, since it uses less digits than its factorization.
48187440 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 3216 (or 3204 counting only the distinct ones).
The product of its (nonzero) digits is 28672, while the sum is 36.
The square root of 48187440 is about 6941.7173667616. The cubic root of 48187440 is about 363.8965611972.
The spelling of 48187440 in words is "forty-eight million, one hundred eighty-seven thousand, four hundred forty".
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