Search a number
-
+
46082448240 = 2435192010201
BaseRepresentation
bin101010111010101110…
…100101101101110000
311101221120020220220020
4222322232211231300
51223334101320430
633100414443440
73220652230023
oct527256455560
9141846226806
1046082448240
11185a8382474
128b20b03580
134465257b6a
14233231d1ba
1512ea9a8b10
hexababa5b70

46082448240 has 40 divisors (see below), whose sum is σ = 142855590288. Its totient is φ = 12288652800.

The previous prime is 46082448239. The next prime is 46082448253. The reversal of 46082448240 is 4284428064.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 46082448192 and 46082448201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 96004861 + ... + 96005340.

Almost surely, 246082448240 is an apocalyptic number.

46082448240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

46082448240 is an abundant number, since it is smaller than the sum of its proper divisors (96773142048).

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

46082448240 is a wasteful number, since it uses less digits than its factorization.

46082448240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192010217 (or 192010211 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 42.

The spelling of 46082448240 in words is "forty-six billion, eighty-two million, four hundred forty-eight thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 192010201 384020402 576030603 768040804 960051005 1152061206 1536081608 1920102010 2304122412 2880153015 3072163216 3840204020 4608244824 5760306030 7680408040 9216489648 11520612060 15360816080 23041224120 46082448240