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382632721 = 3126312
BaseRepresentation
bin10110110011101…
…000001100010001
3222122222202102021
4112303220030101
51240423221341
6101545051441
712324216202
oct2663501421
9878882367
10382632721
11186a93699
12a8186b81
13613705c3
1438b635a9
15238d29d1
hex16ce8311

382632721 has 9 divisors (see below), whose sum is σ = 396001449. Its totient is φ = 369702900.

The previous prime is 382632713. The next prime is 382632737. The reversal of 382632721 is 127236283.

The square root of 382632721 is 19561.

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

It is not a de Polignac number, because 382632721 - 23 = 382632713 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (382632751) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 606076 + ... + 606706.

It is an arithmetic number, because the mean of its divisors is an integer number (44000161).

Almost surely, 2382632721 is an apocalyptic number.

382632721 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

382632721 is the 19561-st square number.

382632721 is the 9781-st centered octagonal number.

It is an amenable number.

382632721 is a deficient number, since it is larger than the sum of its proper divisors (13368728).

382632721 is an frugal number, since it uses more digits than its factorization.

382632721 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1324 (or 662 counting only the distinct ones).

The product of its digits is 24192, while the sum is 34.

The cubic root of 382632721 is about 725.9845338427.

The spelling of 382632721 in words is "three hundred eighty-two million, six hundred thirty-two thousand, seven hundred twenty-one".

Divisors: 1 31 631 961 19561 398161 606391 12342991 382632721