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381552048 = 243214917783
BaseRepresentation
bin10110101111100…
…000010110110000
3222120221212000100
4112233200112300
51240134131143
6101505552400
712312065433
oct2657402660
9876855010
10381552048
11186415779
12a7945700
1361082757
143896181a
152376c6d3
hex16be05b0

381552048 has 60 divisors (see below), whose sum is σ = 1075042800. Its totient is φ = 126323328.

The previous prime is 381552007. The next prime is 381552089. The reversal of 381552048 is 840255183.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (381552007) and next prime (381552089).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12565 + ... + 30347.

It is an arithmetic number, because the mean of its divisors is an integer number (17917380).

Almost surely, 2381552048 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 381552048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537521400).

381552048 is an abundant number, since it is smaller than the sum of its proper divisors (693490752).

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

381552048 is a wasteful number, since it uses less digits than its factorization.

381552048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17946 (or 17937 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 381552048 is about 19533.3573151161. The cubic root of 381552048 is about 725.3004211956.

The spelling of 381552048 in words is "three hundred eighty-one million, five hundred fifty-two thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 149 298 447 596 894 1192 1341 1788 2384 2682 3576 5364 7152 10728 17783 21456 35566 53349 71132 106698 142264 160047 213396 284528 320094 426792 640188 853584 1280376 2560752 2649667 5299334 7949001 10598668 15898002 21197336 23847003 31796004 42394672 47694006 63592008 95388012 127184016 190776024 381552048