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472639440 = 2435713171967
BaseRepresentation
bin11100001010111…
…110011111010000
31012221100120102110
4130022332133100
51431443430230
6114522145320
714466240360
oct3412763720
91187316373
10472639440
1122287a009
12112352240
1376bc5610
1446ab29a0
152b7614b0
hex1c2be7d0

472639440 has 640 divisors, whose sum is σ = 2039869440. Its totient is φ = 87588864.

The previous prime is 472639429. The next prime is 472639463. The reversal of 472639440 is 44936274.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7054287 + ... + 7054353.

It is an arithmetic number, because the mean of its divisors is an integer number (3187296).

Almost surely, 2472639440 is an apocalyptic number.

472639440 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 472639440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1019934720).

472639440 is an abundant number, since it is smaller than the sum of its proper divisors (1567230000).

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

472639440 is a wasteful number, since it uses less digits than its factorization.

472639440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 39.

The square root of 472639440 is about 21740.2723074022. The cubic root of 472639440 is about 778.9507258771.

The spelling of 472639440 in words is "four hundred seventy-two million, six hundred thirty-nine thousand, four hundred forty".