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3881406393 = 3219611392677
BaseRepresentation
bin1110011101011001…
…1000111110111001
3101000111112212121100
43213112120332321
530422120001033
61441052002013
7165120260424
oct34726307671
911014485540
103881406393
111711a53087
12903a60309
1349b19a997
1428b6c29bb
1517ab4b513
hexe7598fb9

3881406393 has 48 divisors (see below), whose sum is σ = 6043710400. Its totient is φ = 2392986240.

The previous prime is 3881406383. The next prime is 3881406407. The reversal of 3881406393 is 3936041883.

3881406393 is a `hidden beast` number, since 3 + 8 + 8 + 1 + 4 + 0 + 639 + 3 = 666.

It is not a de Polignac number, because 3881406393 - 26 = 3881406329 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3881406383) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1448571 + ... + 1451247.

Almost surely, 23881406393 is an apocalyptic number.

It is an amenable number.

3881406393 is a deficient number, since it is larger than the sum of its proper divisors (2162304007).

3881406393 is a wasteful number, since it uses less digits than its factorization.

3881406393 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2902 (or 2899 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 3881406393 is about 62300.9341262232. The cubic root of 3881406393 is about 1571.5554375335. Note that the first 3 decimals are identical.

The spelling of 3881406393 in words is "three billion, eight hundred eighty-one million, four hundred six thousand, three hundred ninety-three".

Divisors: 1 3 9 19 57 61 139 171 183 417 549 1159 1251 2641 2677 3477 7923 8031 8479 10431 23769 24093 25437 50863 76311 152589 161101 163297 372103 457767 483303 489891 1116309 1449909 1469673 3102643 3348927 7069957 9307929 21209871 22698283 27923787 63629613 68094849 204284547 431267377 1293802131 3881406393