Search a number
-
+
382461690 = 235132933347
BaseRepresentation
bin10110110010111…
…110011011111010
3222122200001210210
4112302332123322
51240402233230
6101541251550
712322604442
oct2662763372
9878601723
10382461690
11186987146
12a8103bb6
13613107c0
1438b1b122
152389beb0
hex16cbe6fa

382461690 has 64 divisors (see below), whose sum is σ = 992186496. Its totient is φ = 93795072.

The previous prime is 382461689. The next prime is 382461691. The reversal of 382461690 is 96164283.

It is an interprime number because it is at equal distance from previous prime (382461689) and next prime (382461691).

It is a super-2 number, since 2×3824616902 = 292553888635312200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (382461691) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 112597 + ... + 115943.

It is an arithmetic number, because the mean of its divisors is an integer number (15502914).

Almost surely, 2382461690 is an apocalyptic number.

382461690 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 382461690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496093248).

382461690 is an abundant number, since it is smaller than the sum of its proper divisors (609724806).

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

382461690 is a wasteful number, since it uses less digits than its factorization.

382461690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3663.

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 382461690 is about 19556.6277767922. The cubic root of 382461690 is about 725.8763497115.

The spelling of 382461690 in words is "three hundred eighty-two million, four hundred sixty-one thousand, six hundred ninety".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 293 390 586 879 1465 1758 2930 3347 3809 4395 6694 7618 8790 10041 11427 16735 19045 20082 22854 33470 38090 43511 50205 57135 87022 100410 114270 130533 217555 261066 435110 652665 980671 1305330 1961342 2942013 4903355 5884026 9806710 12748723 14710065 25497446 29420130 38246169 63743615 76492338 127487230 191230845 382461690