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472413456 = 24323280649
BaseRepresentation
bin11100001010000…
…111010100010000
31012220221002102200
4130022013110100
51431414212311
6114513243200
714464306464
oct3412072420
91186832380
10472413456
11222735249
12112263500
1376b467b8
1446a544a4
152b719556
hex1c287510

472413456 has 30 divisors (see below), whose sum is σ = 1322101950. Its totient is φ = 157471104.

The previous prime is 472413419. The next prime is 472413467. The reversal of 472413456 is 654314274.

472413456 is a `hidden beast` number, since 472 + 4 + 134 + 56 = 666.

It can be written as a sum of positive squares in only one way, i.e., 444535056 + 27878400 = 21084^2 + 5280^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 472413456.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 1640181 + ... + 1640468.

It is an arithmetic number, because the mean of its divisors is an integer number (44070065).

Almost surely, 2472413456 is an apocalyptic number.

It is an amenable number.

472413456 is an abundant number, since it is smaller than the sum of its proper divisors (849688494).

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

472413456 is a wasteful number, since it uses less digits than its factorization.

472413456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3280663 (or 3280654 counting only the distinct ones).

The product of its digits is 80640, while the sum is 36.

The square root of 472413456 is about 21735.0743269951. The cubic root of 472413456 is about 778.8265590185.

The spelling of 472413456 in words is "four hundred seventy-two million, four hundred thirteen thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 3280649 6561298 9841947 13122596 19683894 26245192 29525841 39367788 52490384 59051682 78735576 118103364 157471152 236206728 472413456