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382945761 = 321125932
BaseRepresentation
bin10110110100110…
…100100111100001
3222200120122211100
4112310310213201
51241013231021
6101555505013
712326661642
oct2664644741
9880518740
10382945761
11187187900
12a82b8169
136144cc33
1438c056c9
1523945626
hex16d349e1

382945761 has 27 divisors (see below), whose sum is σ = 609028147. Its totient is φ = 231696960.

The previous prime is 382945753. The next prime is 382945763. The reversal of 382945761 is 167549283.

The square root of 382945761 is 19569.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 235469025 + 147476736 = 15345^2 + 12144^2 .

It is not a de Polignac number, because 382945761 - 23 = 382945753 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (382945763) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 645481 + ... + 646073.

Almost surely, 2382945761 is an apocalyptic number.

382945761 is the 19569-th square number.

382945761 is the 9785-th centered octagonal number.

It is an amenable number.

382945761 is a deficient number, since it is larger than the sum of its proper divisors (226082386).

382945761 is an equidigital number, since it uses as much as digits as its factorization.

382945761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1214 (or 607 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The cubic root of 382945761 is about 726.1824610264.

The spelling of 382945761 in words is "three hundred eighty-two million, nine hundred forty-five thousand, seven hundred sixty-one".

Divisors: 1 3 9 11 33 99 121 363 593 1089 1779 5337 6523 19569 58707 71753 215259 351649 645777 1054947 3164841 3868139 11604417 34813251 42549529 127648587 382945761