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48200427 = 3411471151
BaseRepresentation
bin1011011111011…
…1101011101011
310100200211120000
42313313223223
544314403202
64441034043
71123461012
oct267675353
9110624500
1048200427
1125231770
1214185923
139ca8282
146589a79
15437191c
hex2df7aeb

48200427 has 40 divisors (see below), whose sum is σ = 80289792. Its totient is φ = 28566000.

The previous prime is 48200393. The next prime is 48200429. The reversal of 48200427 is 72400284.

It is not a de Polignac number, because 48200427 - 26 = 48200363 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 48200427.

It is not an unprimeable number, because it can be changed into a prime (48200429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 41302 + ... + 42452.

Almost surely, 248200427 is an apocalyptic number.

48200427 is a gapful number since it is divisible by the number (47) formed by its first and last digit.

48200427 is a deficient number, since it is larger than the sum of its proper divisors (32089365).

48200427 is a wasteful number, since it uses less digits than its factorization.

48200427 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1221 (or 1212 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 48200427 is about 6942.6527350862. The cubic root of 48200427 is about 363.9292495225.

The spelling of 48200427 in words is "forty-eight million, two hundred thousand, four hundred twenty-seven".

Divisors: 1 3 9 11 27 33 47 81 99 141 297 423 517 891 1151 1269 1551 3453 3807 4653 10359 12661 13959 31077 37983 41877 54097 93231 113949 162291 341847 486873 595067 1025541 1460619 1785201 4381857 5355603 16066809 48200427