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1448346042 = 2331121317259
BaseRepresentation
bin101011001010100…
…0000000110111010
310201221022121021000
41112111000012322
510431234033132
6355415025430
750614511133
oct12625000672
93657277230
101448346042
1168360a900
1234506b276
131a10a80c0
14da4d8c8a
158724487c
hex565401ba

1448346042 has 288 divisors, whose sum is σ = 4115764800. Its totient is φ = 374837760.

The previous prime is 1448346037. The next prime is 1448346083. The reversal of 1448346042 is 2406438441.

1448346042 is a `hidden beast` number, since 1 + 4 + 48 + 3 + 4 + 604 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1448345988 and 1448346006.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 24548209 + ... + 24548267.

It is an arithmetic number, because the mean of its divisors is an integer number (14290850).

Almost surely, 21448346042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1448346042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2057882400).

1448346042 is an abundant number, since it is smaller than the sum of its proper divisors (2667418758).

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

1448346042 is a wasteful number, since it uses less digits than its factorization.

1448346042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 1448346042 is about 38057.1418001930. The cubic root of 1448346042 is about 1131.4206795084.

The spelling of 1448346042 in words is "one billion, four hundred forty-eight million, three hundred forty-six thousand, forty-two".