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382272816 = 24316348859
BaseRepresentation
bin10110110010010…
…000010100110000
3222122022110201110
4112302100110300
51240330212231
6101533233320
712321160002
oct2662202460
9878273643
10382272816
11186868252
12a8032840
1361275843
1438aac372
1523861046
hex16c90530

382272816 has 40 divisors (see below), whose sum is σ = 993616960. Its totient is φ = 126639936.

The previous prime is 382272773. The next prime is 382272817. The reversal of 382272816 is 618272283.

It is a super-2 number, since 2×3822728162 = 292265011705139712, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (382272817) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16606 + ... + 32253.

It is an arithmetic number, because the mean of its divisors is an integer number (24840424).

Almost surely, 2382272816 is an apocalyptic number.

It is an amenable number.

382272816 is an abundant number, since it is smaller than the sum of its proper divisors (611344144).

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

382272816 is a wasteful number, since it uses less digits than its factorization.

382272816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49033 (or 49027 counting only the distinct ones).

The product of its digits is 64512, while the sum is 39.

The square root of 382272816 is about 19551.7982804652. The cubic root of 382272816 is about 725.7568416686.

The spelling of 382272816 in words is "three hundred eighty-two million, two hundred seventy-two thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 48 163 326 489 652 978 1304 1956 2608 3912 7824 48859 97718 146577 195436 293154 390872 586308 781744 1172616 2345232 7964017 15928034 23892051 31856068 47784102 63712136 95568204 127424272 191136408 382272816