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382328772 = 223724115859
BaseRepresentation
bin10110110010011…
…101111111000100
3222122102022110220
4112302131333010
51240334010042
6101534344340
712321512100
oct2662357704
9878368426
10382328772
111868a62a1
12a805b0b0
1361295157
1438ac4900
15238728ec
hex16c9dfc4

382328772 has 72 divisors (see below), whose sum is σ = 1063127520. Its totient is φ = 106565760.

The previous prime is 382328767. The next prime is 382328831. The reversal of 382328772 is 277823283.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 16179 + ... + 32037.

It is an arithmetic number, because the mean of its divisors is an integer number (14765660).

Almost surely, 2382328772 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 382328772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531563760).

382328772 is an abundant number, since it is smaller than the sum of its proper divisors (680798748).

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

382328772 is a wasteful number, since it uses less digits than its factorization.

382328772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15921 (or 15912 counting only the distinct ones).

The product of its digits is 225792, while the sum is 42.

The square root of 382328772 is about 19553.2291962223. The cubic root of 382328772 is about 725.7922513436.

The spelling of 382328772 in words is "three hundred eighty-two million, three hundred twenty-eight thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 41 42 49 82 84 98 123 147 164 196 246 287 294 492 574 588 861 1148 1722 2009 3444 4018 6027 8036 12054 15859 24108 31718 47577 63436 95154 111013 190308 222026 333039 444052 650219 666078 777091 1300438 1332156 1554182 1950657 2331273 2600876 3108364 3901314 4551533 4662546 7802628 9103066 9325092 13654599 18206132 27309198 31860731 54618396 63721462 95582193 127442924 191164386 382328772