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472043520 = 21232513197
BaseRepresentation
bin11100001000101…
…101000000000000
31012220020021222100
4130020231000000
51431320343040
6114501310400
714461206114
oct3410550000
91186207870
10472043520
11222502313
12112105400
1376a472c0
1446999744
152b694b30
hex1c22d000

472043520 has 312 divisors, whose sum is σ = 1771025256. Its totient is φ = 115605504.

The previous prime is 472043491. The next prime is 472043557. The reversal of 472043520 is 25340274.

It can be written as a sum of positive squares in 4 ways, for example, as 88510464 + 383533056 = 9408^2 + 19584^2 .

It is a tau number, because it is divible by the number of its divisors (312).

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, 2396062 + ... + 2396258.

It is an arithmetic number, because the mean of its divisors is an integer number (5676363).

Almost surely, 2472043520 is an apocalyptic number.

472043520 is a gapful number since it is divisible by the number (40) 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 472043520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (885512628).

472043520 is an abundant number, since it is smaller than the sum of its proper divisors (1298981736).

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

472043520 is a wasteful number, since it uses less digits than its factorization.

472043520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 472043520 is about 21726.5625444984. The cubic root of 472043520 is about 778.6232122703.

Adding to 472043520 its reverse (25340274), we get a palindrome (497383794).

The spelling of 472043520 in words is "four hundred seventy-two million, forty-three thousand, five hundred twenty".