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3885742432 = 2511134212017
BaseRepresentation
bin1110011110011011…
…1011100101100000
3101000210201011112101
43213212323211200
530424222224212
61441324540144
7165202160065
oct34746734540
911023634471
103885742432
111714444890
129053b1654
1349c0584a0
1428c0d0c6c
1517b206157
hexe79bb960

3885742432 has 96 divisors (see below), whose sum is σ = 9013292064. Its totient is φ = 1625702400.

The previous prime is 3885742423. The next prime is 3885742439. The reversal of 3885742432 is 2342475883.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3885742439) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1925488 + ... + 1927504.

It is an arithmetic number, because the mean of its divisors is an integer number (93888459).

Almost surely, 23885742432 is an apocalyptic number.

3885742432 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3885742432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4506646032).

3885742432 is an abundant number, since it is smaller than the sum of its proper divisors (5127549632).

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

3885742432 is a wasteful number, since it uses less digits than its factorization.

3885742432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2472 (or 2464 counting only the distinct ones).

The product of its digits is 1290240, while the sum is 46.

The square root of 3885742432 is about 62335.7235620154. The cubic root of 3885742432 is about 1572.1404307940.

The spelling of 3885742432 in words is "three billion, eight hundred eighty-five million, seven hundred forty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 88 104 143 176 208 286 352 416 421 572 842 1144 1684 2017 2288 3368 4034 4576 4631 5473 6736 8068 9262 10946 13472 16136 18524 21892 22187 26221 32272 37048 43784 44374 52442 60203 64544 74096 87568 88748 104884 120406 148192 175136 177496 209768 240812 288431 354992 419536 481624 576862 709984 839072 849157 963248 1153724 1698314 1926496 2307448 3396628 4614896 6793256 9229792 9340727 11039041 13586512 18681454 22078082 27173024 37362908 44156164 74725816 88312328 121429451 149451632 176624656 242858902 298903264 353249312 485717804 971435608 1942871216 3885742432