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382906650 = 23527477759
BaseRepresentation
bin10110110100101…
…011000100011010
3222200111200011210
4112310223010122
51241011003100
6101555003550
712326436630
oct2664530432
9880450153
10382906650
11187160485
12a82995b6
13614381a9
1438bd5350
1523938c50
hex16d2b11a

382906650 has 96 divisors (see below), whose sum is σ = 1108500480. Its totient is φ = 85648320.

The previous prime is 382906649. The next prime is 382906687. The reversal of 382906650 is 56609283.

382906650 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3829066502 = 293235005228445000, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 382906599 and 382906608.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45471 + ... + 53229.

It is an arithmetic number, because the mean of its divisors is an integer number (11546880).

Almost surely, 2382906650 is an apocalyptic number.

382906650 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 382906650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554250240).

382906650 is an abundant number, since it is smaller than the sum of its proper divisors (725593830).

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

382906650 is a wasteful number, since it uses less digits than its factorization.

382906650 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7828 (or 7823 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The square root of 382906650 is about 19568.0006643499. Note that the first 3 decimals coincide. The cubic root of 382906650 is about 726.1577380394.

The spelling of 382906650 in words is "three hundred eighty-two million, nine hundred six thousand, six hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 42 47 50 70 75 94 105 141 150 175 210 235 282 329 350 470 525 658 705 987 1050 1175 1410 1645 1974 2350 3290 3525 4935 7050 7759 8225 9870 15518 16450 23277 24675 38795 46554 49350 54313 77590 108626 116385 162939 193975 232770 271565 325878 364673 387950 543130 581925 729346 814695 1094019 1163850 1357825 1629390 1823365 2188038 2552711 2715650 3646730 4073475 5105422 5470095 7658133 8146950 9116825 10940190 12763555 15316266 18233650 25527110 27350475 38290665 54700950 63817775 76581330 127635550 191453325 382906650