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48381328 = 2423314241
BaseRepresentation
bin1011100010001…
…1110110010000
310101001000201001
42320203312100
544341200303
64444551344
71125143302
oct270436620
9111030631
1048381328
1125345676
1214252554
13a03c708
1465d5972
1543aa31d
hex2e23d90

48381328 has 40 divisors (see below), whose sum is σ = 100993536. Its totient is φ = 22387200.

The previous prime is 48381301. The next prime is 48381329. The reversal of 48381328 is 82318384.

It is not an unprimeable number, because it can be changed into a prime (48381329) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9288 + ... + 13528.

Almost surely, 248381328 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 48381328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50496768).

48381328 is an abundant number, since it is smaller than the sum of its proper divisors (52612208).

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

48381328 is a wasteful number, since it uses less digits than its factorization.

48381328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4303 (or 4297 counting only the distinct ones).

The product of its digits is 36864, while the sum is 37.

The square root of 48381328 is about 6955.6687672718. The cubic root of 48381328 is about 364.3839686926.

The spelling of 48381328 in words is "forty-eight million, three hundred eighty-one thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 16 23 31 46 62 92 124 184 248 368 496 713 1426 2852 4241 5704 8482 11408 16964 33928 67856 97543 131471 195086 262942 390172 525884 780344 1051768 1560688 2103536 3023833 6047666 12095332 24190664 48381328