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381966416 = 241311631579
BaseRepresentation
bin10110110001000…
…101100001010000
3222121201220102022
4112301011201100
51240240411131
6101522511012
712315442466
oct2661054120
9877656368
10381966416
11186679027
12a7b05468
1361199240
1438a2c836
152380037b
hex16c45850

381966416 has 40 divisors (see below), whose sum is σ = 798178080. Its totient is φ = 176029056.

The previous prime is 381966401. The next prime is 381966449. The reversal of 381966416 is 614669183.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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, 241115 + ... + 242693.

It is an arithmetic number, because the mean of its divisors is an integer number (19954452).

Almost surely, 2381966416 is an apocalyptic number.

It is an amenable number.

381966416 is an abundant number, since it is smaller than the sum of its proper divisors (416211664).

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

381966416 is a wasteful number, since it uses less digits than its factorization.

381966416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2763 (or 2757 counting only the distinct ones).

The product of its digits is 186624, while the sum is 44.

The square root of 381966416 is about 19543.9611133465. The cubic root of 381966416 is about 725.5628865268.

The spelling of 381966416 in words is "three hundred eighty-one million, nine hundred sixty-six thousand, four hundred sixteen".

Divisors: 1 2 4 8 13 16 26 52 104 208 1163 1579 2326 3158 4652 6316 9304 12632 15119 18608 20527 25264 30238 41054 60476 82108 120952 164216 241904 328432 1836377 3672754 7345508 14691016 23872901 29382032 47745802 95491604 190983208 381966416