Search a number
-
+
405064632 = 23378927091
BaseRepresentation
bin11000001001001…
…100101110111000
31001020012102012210
4120021030232320
51312144032012
6104105535120
713015664310
oct3011145670
91036172183
10405064632
11198715065
12b37a44a0
1365bc591b
143bb22440
152586423c
hex1824cbb8

405064632 has 64 divisors (see below), whose sum is σ = 1170374400. Its totient is φ = 114428160.

The previous prime is 405064619. The next prime is 405064643. The reversal of 405064632 is 236460504.

It is a self number, because there is not a number n which added to its sum of digits gives 405064632.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1407 + ... + 28497.

It is an arithmetic number, because the mean of its divisors is an integer number (18287100).

Almost surely, 2405064632 is an apocalyptic number.

405064632 is a gapful number since it is divisible by the number (42) 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 405064632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (585187200).

405064632 is an abundant number, since it is smaller than the sum of its proper divisors (765309768).

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

405064632 is a wasteful number, since it uses less digits than its factorization.

405064632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27196 (or 27192 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 405064632 is about 20126.2175283882. The cubic root of 405064632 is about 739.9029772968.

The spelling of 405064632 in words is "four hundred five million, sixty-four thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 89 168 178 267 356 534 623 712 1068 1246 1869 2136 2492 3738 4984 7476 14952 27091 54182 81273 108364 162546 189637 216728 325092 379274 568911 650184 758548 1137822 1517096 2275644 2411099 4551288 4822198 7233297 9644396 14466594 16877693 19288792 28933188 33755386 50633079 57866376 67510772 101266158 135021544 202532316 405064632