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3806522328 = 2337415310427
BaseRepresentation
bin1110001011100010…
…1110101111011000
3100211021122100222110
43202320232233120
530243432203303
61425414552320
7163220622510
oct34270565730
910737570873
103806522328
111683756624
128a29686a0
1348880c09b
1428178c840
151742a8703
hexe2e2ebd8

3806522328 has 128 divisors (see below), whose sum is σ = 11352337920. Its totient is φ = 1040931840.

The previous prime is 3806522327. The next prime is 3806522329. The reversal of 3806522328 is 8232256083.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3806522327) and next prime (3806522329).

It is a super-2 number, since 2×38065223282 = 28979224467125079168, which contains 22 as substring.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3806522327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 359851 + ... + 370277.

It is an arithmetic number, because the mean of its divisors is an integer number (88690140).

Almost surely, 23806522328 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 3806522328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5676168960).

3806522328 is an abundant number, since it is smaller than the sum of its proper divisors (7545815592).

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

3806522328 is a wasteful number, since it uses less digits than its factorization.

3806522328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10537 (or 10533 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The square root of 3806522328 is about 61697.0204142793. The cubic root of 3806522328 is about 1561.3830502574.

The spelling of 3806522328 in words is "three billion, eight hundred six million, five hundred twenty-two thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 41 42 53 56 82 84 106 123 159 164 168 212 246 287 318 328 371 424 492 574 636 742 861 984 1113 1148 1272 1484 1722 2173 2226 2296 2968 3444 4346 4452 6519 6888 8692 8904 10427 13038 15211 17384 20854 26076 30422 31281 41708 45633 52152 60844 62562 72989 83416 91266 121688 125124 145978 182532 218967 250248 291956 365064 427507 437934 552631 583912 855014 875868 1105262 1282521 1657893 1710028 1751736 2210524 2565042 2992549 3315786 3420056 3868417 4421048 5130084 5985098 6631572 7736834 8977647 10260168 11605251 11970196 13263144 15473668 17955294 22657871 23210502 23940392 30947336 35910588 45315742 46421004 67973613 71821176 90631484 92842008 135947226 158605097 181262968 271894452 317210194 475815291 543788904 634420388 951630582 1268840776 1903261164 3806522328