Search a number
-
+
472657428 = 2232291672711
BaseRepresentation
bin11100001011000…
…010111000010100
31012221101111002200
4130023002320110
51432000014203
6114522404500
714466343665
oct3413027024
91187344080
10472657428
11222891581
12112360730
1376c00869
1446ab936c
152b7669a3
hex1c2c2e14

472657428 has 72 divisors (see below), whose sum is σ = 1243831680. Its totient is φ = 151152960.

The previous prime is 472657411. The next prime is 472657447. The reversal of 472657428 is 824756274.

It is a happy number.

472657428 is a `hidden beast` number, since 4 + 72 + 6 + 574 + 2 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 172993 + ... + 175703.

It is an arithmetic number, because the mean of its divisors is an integer number (17275440).

Almost surely, 2472657428 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 472657428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (621915840).

472657428 is an abundant number, since it is smaller than the sum of its proper divisors (771174252).

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

472657428 is a wasteful number, since it uses less digits than its factorization.

472657428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2917 (or 2912 counting only the distinct ones).

The product of its digits is 752640, while the sum is 45.

The square root of 472657428 is about 21740.6860057359. The cubic root of 472657428 is about 778.9606076790.

The spelling of 472657428 in words is "four hundred seventy-two million, six hundred fifty-seven thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 167 174 261 334 348 501 522 668 1002 1044 1503 2004 2711 3006 4843 5422 6012 8133 9686 10844 14529 16266 19372 24399 29058 32532 43587 48798 58116 78619 87174 97596 157238 174348 235857 314476 452737 471714 707571 905474 943428 1358211 1415142 1810948 2716422 2830284 4074633 5432844 8149266 13129373 16298532 26258746 39388119 52517492 78776238 118164357 157552476 236328714 472657428