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380911572 = 22346119273
BaseRepresentation
bin10110101101000…
…011111111010100
3222112202022110000
4112231003333110
51240003132242
6101444131300
712303460236
oct2655037724
9875668400
10380911572
11186018558
12a7696b30
1360bba082
1438836256
1523692a4c
hex16b43fd4

380911572 has 60 divisors (see below), whose sum is σ = 1012154836. Its totient is φ = 124882560.

The previous prime is 380911541. The next prime is 380911577. The reversal of 380911572 is 275119083.

380911572 is a `hidden beast` number, since 3 + 80 + 9 + 1 + 1 + 572 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 107868996 + 273042576 = 10386^2 + 16524^2 .

It is a super-2 number, since 2×3809115722 = 290187251367022368, which contains 22 as substring.

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 (380911577) 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 19 ways as a sum of consecutive naturals, for example, 10128 + ... + 29400.

Almost surely, 2380911572 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 380911572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506077418).

380911572 is an abundant number, since it is smaller than the sum of its proper divisors (631243264).

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

380911572 is a wasteful number, since it uses less digits than its factorization.

380911572 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19350 (or 19339 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 380911572 is about 19516.9560126573. The cubic root of 380911572 is about 724.8943624128.

The spelling of 380911572 in words is "three hundred eighty million, nine hundred eleven thousand, five hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 61 81 108 122 162 183 244 324 366 549 732 1098 1647 2196 3294 4941 6588 9882 19273 19764 38546 57819 77092 115638 173457 231276 346914 520371 693828 1040742 1175653 1561113 2081484 2351306 3122226 3526959 4702612 6244452 7053918 10580877 14107836 21161754 31742631 42323508 63485262 95227893 126970524 190455786 380911572