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48214784 = 28331569
BaseRepresentation
bin1011011111101…
…1001100000000
310100201120020202
42313323030000
544320333114
64441224332
71123550612
oct267731400
9110646222
1048214784
1125241532
12141920a8
139cb1977
146590db2
154375cde
hex2dfb300

48214784 has 36 divisors (see below), whose sum is σ = 96701640. Its totient is φ = 23992320.

The previous prime is 48214781. The next prime is 48214787. The reversal of 48214784 is 48741284.

It is a happy number.

48214784 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (48214781) and next prime (48214787).

It is not an unprimeable number, because it can be changed into a prime (48214781) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 84452 + ... + 85020.

Almost surely, 248214784 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48214784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48350820).

48214784 is an abundant number, since it is smaller than the sum of its proper divisors (48486856).

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

48214784 is an equidigital number, since it uses as much as digits as its factorization.

48214784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 916 (or 902 counting only the distinct ones).

The product of its digits is 57344, while the sum is 38.

The square root of 48214784 is about 6943.6866288737. The cubic root of 48214784 is about 363.9653793100.

The spelling of 48214784 in words is "forty-eight million, two hundred fourteen thousand, seven hundred eighty-four".

Divisors: 1 2 4 8 16 32 64 128 256 331 569 662 1138 1324 2276 2648 4552 5296 9104 10592 18208 21184 36416 42368 72832 84736 145664 188339 376678 753356 1506712 3013424 6026848 12053696 24107392 48214784