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3826332380 = 2251324127611
BaseRepresentation
bin1110010000010001…
…0011001011011100
3100212122220211021002
43210010103023130
530314020114010
61431403325432
7163551200663
oct34404231334
910778824232
103826332380
111693957172
128a9520878
1348c956c00
14284267dda
15175dbd1a5
hexe41132dc

3826332380 has 72 divisors (see below), whose sum is σ = 8913484944. Its totient is φ = 1378291200.

The previous prime is 3826332337. The next prime is 3826332397. The reversal of 3826332380 is 832336283.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 124775 + ... + 152385.

It is an arithmetic number, because the mean of its divisors is an integer number (123798402).

Almost surely, 23826332380 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 3826332380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4456742472).

3826332380 is an abundant number, since it is smaller than the sum of its proper divisors (5087152564).

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

3826332380 is a wasteful number, since it uses less digits than its factorization.

3826332380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27687 (or 27672 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 38.

The square root of 3826332380 is about 61857.3551002627. The cubic root of 3826332380 is about 1564.0869685833.

The spelling of 3826332380 in words is "three billion, eight hundred twenty-six million, three hundred thirty-two thousand, three hundred eighty".

Divisors: 1 2 4 5 10 13 20 26 41 52 65 82 130 164 169 205 260 338 410 533 676 820 845 1066 1690 2132 2665 3380 5330 6929 10660 13858 27611 27716 34645 55222 69290 110444 138055 138580 276110 358943 552220 717886 1132051 1435772 1794715 2264102 3589430 4528204 4666259 5660255 7178860 9332518 11320510 14716663 18665036 22641020 23331295 29433326 46662590 58866652 73583315 93325180 147166630 191316619 294333260 382633238 765266476 956583095 1913166190 3826332380