Search a number
-
+
474114272 = 25232997229
BaseRepresentation
bin11100010000100…
…110100011100000
31020001010111111212
4130100212203200
51432333124042
6115013525252
714514622232
oct3420464340
91201114455
10474114272
11223697085
12112943828
13772c09b8
1446d78252
152b953482
hex1c4268e0

474114272 has 96 divisors (see below), whose sum is σ = 1022414400. Its totient is φ = 215728128.

The previous prime is 474114271. The next prime is 474114299. The reversal of 474114272 is 272411474.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (474114271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2070254 + ... + 2070482.

It is an arithmetic number, because the mean of its divisors is an integer number (10650150).

Almost surely, 2474114272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 474114272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511207200).

474114272 is an abundant number, since it is smaller than the sum of its proper divisors (548300128).

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

474114272 is a wasteful number, since it uses less digits than its factorization.

474114272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 380 counting only the distinct ones).

The product of its digits is 12544, while the sum is 32.

The square root of 474114272 is about 21774.1652423233. The cubic root of 474114272 is about 779.7601015471.

The spelling of 474114272 in words is "four hundred seventy-four million, one hundred fourteen thousand, two hundred seventy-two".

Divisors: 1 2 4 8 16 23 29 32 46 58 92 97 116 184 194 229 232 368 388 458 464 667 736 776 916 928 1334 1552 1832 2231 2668 2813 3104 3664 4462 5267 5336 5626 6641 7328 8924 10534 10672 11252 13282 17848 21068 21344 22213 22504 26564 35696 42136 44426 45008 53128 64699 71392 84272 88852 90016 106256 129398 152743 168544 177704 212512 258796 305486 355408 510899 517592 610972 644177 710816 1021798 1035184 1221944 1288354 2043596 2070368 2443888 2576708 4087192 4887776 5153416 8174384 10306832 14816071 16348768 20613664 29632142 59264284 118528568 237057136 474114272