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472758049 = 17212792
BaseRepresentation
bin11100001011011…
…011011100100001
31012221120121010101
4130023123130201
51432011224144
6114524502401
714500243231
oct3413333441
91187517111
10472758049
11222950135
121123aaa01
1376c375ba
1446b03cc1
152b7866d4
hex1c2db721

472758049 has 9 divisors (see below), whose sum is σ = 502596147. Its totient is φ = 444600864.

The previous prime is 472758047. The next prime is 472758059. The reversal of 472758049 is 940857274.

The square root of 472758049 is 21743.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 368064225 + 104693824 = 19185^2 + 10232^2 .

It is not a de Polignac number, because 472758049 - 21 = 472758047 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (472758047) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 368992 + ... + 370270.

Almost surely, 2472758049 is an apocalyptic number.

472758049 is the 21743-rd square number.

472758049 is the 10872-nd centered octagonal number.

It is an amenable number.

472758049 is a deficient number, since it is larger than the sum of its proper divisors (29838098).

472758049 is an frugal number, since it uses more digits than its factorization.

472758049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2592 (or 1296 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 46.

The cubic root of 472758049 is about 779.0158797283.

The spelling of 472758049 in words is "four hundred seventy-two million, seven hundred fifty-eight thousand, forty-nine".

Divisors: 1 17 289 1279 21743 369631 1635841 27809297 472758049