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380959488 = 28327132379
BaseRepresentation
bin10110101101001…
…111101100000000
3222112211202011200
4112231033230000
51240011200423
6101445141200
712304050030
oct2655175400
9875752150
10380959488
11186050558
12a76ba800
1360c05b20
14388498c0
15236a1d43
hex16b4fb00

380959488 has 432 divisors, whose sum is σ = 1428510720. Its totient is φ = 94887936.

The previous prime is 380959471. The next prime is 380959507. The reversal of 380959488 is 884959083.

It is a happy number.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4822233 + ... + 4822311.

Almost surely, 2380959488 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 380959488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (714255360).

380959488 is an abundant number, since it is smaller than the sum of its proper divisors (1047551232).

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

380959488 is a wasteful number, since it uses less digits than its factorization.

380959488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The square root of 380959488 is about 19518.1835220391. The cubic root of 380959488 is about 724.9247566779.

The spelling of 380959488 in words is "three hundred eighty million, nine hundred fifty-nine thousand, four hundred eighty-eight".