Search a number
-
+
455135604 = 2237111094519
BaseRepresentation
bin11011001000001…
…101000101110100
31011201102021200020
4123020031011310
51413003314404
6113055045140
714164405650
oct3310150564
91151367606
10455135604
11213a04130
121085107b0
13733a7411
1444637a60
1529e54ed9
hex1b20d174

455135604 has 96 divisors (see below), whose sum is σ = 1336473600. Its totient is φ = 117106560.

The previous prime is 455135581. The next prime is 455135647. The reversal of 455135604 is 406531554.

It is a Harshad number since it is a multiple of its sum of digits (33).

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 31 ways as a sum of consecutive naturals, for example, 98457 + ... + 102975.

It is an arithmetic number, because the mean of its divisors is an integer number (13921600).

Almost surely, 2455135604 is an apocalyptic number.

455135604 is a gapful number since it is divisible by the number (44) 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 455135604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (668236800).

455135604 is an abundant number, since it is smaller than the sum of its proper divisors (881337996).

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

455135604 is a wasteful number, since it uses less digits than its factorization.

455135604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4653 (or 4651 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 33.

The square root of 455135604 is about 21333.9073776934. The cubic root of 455135604 is about 769.2135693559.

The spelling of 455135604 in words is "four hundred fifty-five million, one hundred thirty-five thousand, six hundred four".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 109 132 154 218 231 308 327 436 462 654 763 924 1199 1308 1526 2289 2398 3052 3597 4519 4578 4796 7194 8393 9038 9156 13557 14388 16786 18076 25179 27114 31633 33572 49709 50358 54228 63266 94899 99418 100716 126532 149127 189798 198836 298254 347963 379596 492571 596508 695926 985142 1043889 1391852 1477713 1970284 2087778 2955426 3447997 4175556 5418281 5910852 6895994 10343991 10836562 13791988 16254843 20687982 21673124 32509686 37927967 41375964 65019372 75855934 113783901 151711868 227567802 455135604