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381678752 = 25713131071
BaseRepresentation
bin10110101111111…
…111010010100000
3222121012021211002
4112233333102200
51240202210002
6101512411132
712313134020
oct2657772240
9877167732
10381678752
111864a1994
12a79a6aa8
13610c8320
1438995a80
1523795002
hex16bff4a0

381678752 has 48 divisors (see below), whose sum is σ = 924844032. Its totient is φ = 150992640.

The previous prime is 381678751. The next prime is 381678763. The reversal of 381678752 is 257876183.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 381678697 and 381678706.

It is not an unprimeable number, because it can be changed into a prime (381678751) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 62624 + ... + 68447.

It is an arithmetic number, because the mean of its divisors is an integer number (19267584).

Almost surely, 2381678752 is an apocalyptic number.

381678752 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

381678752 is an abundant number, since it is smaller than the sum of its proper divisors (543165280).

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

381678752 is a wasteful number, since it uses less digits than its factorization.

381678752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131101 (or 131093 counting only the distinct ones).

The product of its digits is 564480, while the sum is 47.

The square root of 381678752 is about 19536.6003183768. The cubic root of 381678752 is about 725.3806970885.

The spelling of 381678752 in words is "three hundred eighty-one million, six hundred seventy-eight thousand, seven hundred fifty-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 91 104 112 182 208 224 364 416 728 1456 2912 131071 262142 524284 917497 1048568 1703923 1834994 2097136 3407846 3669988 4194272 6815692 7339976 11927461 13631384 14679952 23854922 27262768 29359904 47709844 54525536 95419688 190839376 381678752