Search a number
-
+
408675741 = 3414377269
BaseRepresentation
bin11000010110111…
…110010110011101
31001110222212201120
4120112332112131
51314110110431
6104315201153
713061454315
oct3026762635
91043885646
10408675741
1119a761151
12b4a461b9
136688b486
143c3c2445
1525d29196
hex185be59d

408675741 has 16 divisors (see below), whose sum is σ = 571179840. Its totient is φ = 259620480.

The previous prime is 408675727. The next prime is 408675779. The reversal of 408675741 is 147576804.

It is not a de Polignac number, because 408675741 - 26 = 408675677 is a prime.

It is a super-2 number, since 2×4086757412 = 334031722563798162, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 408675693 and 408675702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (408675041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33346 + ... + 43923.

It is an arithmetic number, because the mean of its divisors is an integer number (35698740).

Almost surely, 2408675741 is an apocalyptic number.

408675741 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

408675741 is a deficient number, since it is larger than the sum of its proper divisors (162504099).

408675741 is a wasteful number, since it uses less digits than its factorization.

408675741 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77356.

The product of its (nonzero) digits is 188160, while the sum is 42.

The square root of 408675741 is about 20215.7300387594. The cubic root of 408675741 is about 742.0951950042.

The spelling of 408675741 in words is "four hundred eight million, six hundred seventy-five thousand, seven hundred forty-one".

Divisors: 1 3 41 43 123 129 1763 5289 77269 231807 3168029 3322567 9504087 9967701 136225247 408675741