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48330240 = 293572931
BaseRepresentation
bin1011100001011…
…1011000000000
310100221102121220
42320113120000
544333031430
64443515040
71124541330
oct270273000
9110842556
1048330240
1125310252
1214228a80
13a02239a
1465c10c0
15439a110
hex2e17600

48330240 has 320 divisors, whose sum is σ = 188559360. Its totient is φ = 10321920.

The previous prime is 48330229. The next prime is 48330257. The reversal of 48330240 is 4203384.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 48330240.

It is a congruent number.

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, 1559025 + ... + 1559055.

It is an arithmetic number, because the mean of its divisors is an integer number (589248).

Almost surely, 248330240 is an apocalyptic number.

48330240 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 48330240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94279680).

48330240 is an abundant number, since it is smaller than the sum of its proper divisors (140229120).

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

48330240 is a wasteful number, since it uses less digits than its factorization.

48330240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 48330240 is about 6951.9953970065. The cubic root of 48330240 is about 364.2556670993.

The spelling of 48330240 in words is "forty-eight million, three hundred thirty thousand, two hundred forty".