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381462048 = 25341117787
BaseRepresentation
bin10110101111001…
…010011000100000
3222120210021120000
4112233022120200
51240123241143
6101504020000
712311242152
oct2657123040
9876707500
10381462048
111863640a0
12a7901600
13610507b6
143893aad2
1523750bd3
hex16bca620

381462048 has 240 divisors, whose sum is σ = 1297495584. Its totient is φ = 108656640.

The previous prime is 381462043. The next prime is 381462049. The reversal of 381462048 is 840264183.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (381462043) 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 39 ways as a sum of consecutive naturals, for example, 484311 + ... + 485097.

Almost surely, 2381462048 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 381462048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (648747792).

381462048 is an abundant number, since it is smaller than the sum of its proper divisors (916033536).

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

381462048 is a wasteful number, since it uses less digits than its factorization.

381462048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 837 (or 820 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 381462048 is about 19531.0534278108. The cubic root of 381462048 is about 725.2433890717.

The spelling of 381462048 in words is "three hundred eighty-one million, four hundred sixty-two thousand, forty-eight".