Search a number
-
+
414272404 = 22713287547
BaseRepresentation
bin11000101100010…
…100101110010100
31001212112012220101
4120230110232110
51322023204104
6105035143444
713160154160
oct3054245624
91055465811
10414272404
111a2933a97
12b68a4b84
1367a9aa00
143d03bca0
15265825a4
hex18b14b94

414272404 has 36 divisors (see below), whose sum is σ = 897191904. Its totient is φ = 163886112.

The previous prime is 414272359. The next prime is 414272413. The reversal of 414272404 is 404272414.

It is a Harshad number since it is a multiple of its sum of digits (28).

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 11 ways as a sum of consecutive naturals, for example, 39042 + ... + 48505.

Almost surely, 2414272404 is an apocalyptic number.

It is an amenable number.

414272404 is an abundant number, since it is smaller than the sum of its proper divisors (482919500).

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

414272404 is a wasteful number, since it uses less digits than its factorization.

414272404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87584 (or 87569 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 28.

The square root of 414272404 is about 20353.6828117174. The cubic root of 414272404 is about 745.4674207410.

The spelling of 414272404 in words is "four hundred fourteen million, two hundred seventy-two thousand, four hundred four".

Divisors: 1 2 4 7 13 14 26 28 52 91 169 182 338 364 676 1183 2366 4732 87547 175094 350188 612829 1138111 1225658 2276222 2451316 4552444 7966777 14795443 15933554 29590886 31867108 59181772 103568101 207136202 414272404