Search a number
-
+
454504104 = 233223211933
BaseRepresentation
bin11011000101110…
…010111010101000
31011200020012102100
4123011302322220
51412323112404
6113033333400
714156135565
oct3305627250
91150205370
10454504104
1121361272a
12108267260
1373215b52
144451186c
1529d7cd39
hex1b172ea8

454504104 has 72 divisors (see below), whose sum is σ = 1286902890. Its totient is φ = 144902208.

The previous prime is 454504067. The next prime is 454504117. The reversal of 454504104 is 401405454.

454504104 is a `hidden beast` number, since 4 + 54 + 504 + 104 = 666.

It can be written as a sum of positive squares in only one way, i.e., 316911204 + 137592900 = 17802^2 + 11730^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 32122 + ... + 44054.

Almost surely, 2454504104 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 454504104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (643451445).

454504104 is an abundant number, since it is smaller than the sum of its proper divisors (832398786).

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

454504104 is a wasteful number, since it uses less digits than its factorization.

454504104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11991 (or 11961 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

The square root of 454504104 is about 21319.1018572547. The cubic root of 454504104 is about 768.8576437804.

Adding to 454504104 its reverse (401405454), we get a palindrome (855909558).

The spelling of 454504104 in words is "four hundred fifty-four million, five hundred four thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 69 72 92 138 184 207 276 414 529 552 828 1058 1587 1656 2116 3174 4232 4761 6348 9522 11933 12696 19044 23866 35799 38088 47732 71598 95464 107397 143196 214794 274459 286392 429588 548918 823377 859176 1097836 1646754 2195672 2470131 3293508 4940262 6312557 6587016 9880524 12625114 18937671 19761048 25250228 37875342 50500456 56813013 75750684 113626026 151501368 227252052 454504104