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472961916 = 223472313
BaseRepresentation
bin11100001100001…
…101001101111100
31012221221221210000
4130030031031330
51432034240131
6114533114300
714502052500
oct3414151574
91187857700
10472961916
11222a7a319
12112488990
1376ca932b
1446b58300
152b7c6ce6
hex1c30d37c

472961916 has 180 divisors, whose sum is σ = 1486220736. Its totient is φ = 130772880.

The previous prime is 472961897. The next prime is 472961917. The reversal of 472961916 is 619169274.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

472961916 is a `hidden beast` number, since 4 + 7 + 29 + 619 + 1 + 6 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (472961917) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 15256821 + ... + 15256851.

Almost surely, 2472961916 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 472961916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (743110368).

472961916 is an abundant number, since it is smaller than the sum of its proper divisors (1013258820).

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

472961916 is an equidigital number, since it uses as much as digits as its factorization.

472961916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 43 counting only the distinct ones).

The product of its digits is 163296, while the sum is 45.

The square root of 472961916 is about 21747.6876012141. The cubic root of 472961916 is about 779.1278417263.

The spelling of 472961916 in words is "four hundred seventy-two million, nine hundred sixty-one thousand, nine hundred sixteen".