Search a number
-
+
39142452832 = 257273341963
BaseRepresentation
bin100100011101000100…
…100110111001100000
310202000220102121221021
4210131010212321200
51120130431442312
625552022335224
72553662234200
oct443504467140
9122026377837
1039142452832
111566699217a
12770488a514
1338ca500cc2
141c74742400
151041593c07
hex91d126e60

39142452832 has 72 divisors (see below), whose sum is σ = 90871461576. Its totient is φ = 16545489408.

The previous prime is 39142452827. The next prime is 39142452841. The reversal of 39142452832 is 23825424193.

It is a super-2 number, since 2×391424528322 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 56518 + ... + 285445.

It is an arithmetic number, because the mean of its divisors is an integer number (1262103633).

Almost surely, 239142452832 is an apocalyptic number.

39142452832 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

39142452832 is an abundant number, since it is smaller than the sum of its proper divisors (51729008744).

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

39142452832 is a wasteful number, since it uses less digits than its factorization.

39142452832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342060 (or 342045 counting only the distinct ones).

The product of its digits is 414720, while the sum is 43.

The spelling of 39142452832 in words is "thirty-nine billion, one hundred forty-two million, four hundred fifty-two thousand, eight hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 73 98 112 146 196 224 292 392 511 584 784 1022 1168 1568 2044 2336 3577 4088 7154 8176 14308 16352 28616 57232 114464 341963 683926 1367852 2393741 2735704 4787482 5471408 9574964 10942816 16756187 19149928 24963299 33512374 38299856 49926598 67024748 76599712 99853196 134049496 174743093 199706392 268098992 349486186 399412784 536197984 698972372 798825568 1223201651 1397944744 2446403302 2795889488 4892806604 5591778976 9785613208 19571226416 39142452832