Search a number
-
+
31840048 = 24171961101
BaseRepresentation
bin111100101110…
…1011100110000
32012220122100001
41321131130300
531122340143
63054235344
7534431062
oct171353460
965818301
1031840048
1116a77999
12a7b5b54
13679a686
14432b732
152bde14d
hex1e5d730

31840048 has 80 divisors (see below), whose sum is σ = 70575840. Its totient is φ = 13824000.

The previous prime is 31840013. The next prime is 31840049. The reversal of 31840048 is 84004813.

It is a junction number, because it is equal to n+sod(n) for n = 31839998 and 31840025.

It is not an unprimeable number, because it can be changed into a prime (31840049) 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, 315198 + ... + 315298.

It is an arithmetic number, because the mean of its divisors is an integer number (882198).

Almost surely, 231840048 is an apocalyptic number.

31840048 is a gapful number since it is divisible by the number (38) 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 31840048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35287920).

31840048 is an abundant number, since it is smaller than the sum of its proper divisors (38735792).

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

31840048 is a wasteful number, since it uses less digits than its factorization.

31840048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 31840048 is about 5642.6986451520. The cubic root of 31840048 is about 316.9503516337.

The spelling of 31840048 in words is "thirty-one million, eight hundred forty thousand, forty-eight".

Divisors: 1 2 4 8 16 17 19 34 38 61 68 76 101 122 136 152 202 244 272 304 323 404 488 646 808 976 1037 1159 1292 1616 1717 1919 2074 2318 2584 3434 3838 4148 4636 5168 6161 6868 7676 8296 9272 12322 13736 15352 16592 18544 19703 24644 27472 30704 32623 39406 49288 65246 78812 98576 104737 117059 130492 157624 209474 234118 260984 315248 418948 468236 521968 837896 936472 1675792 1872944 1990003 3980006 7960012 15920024 31840048