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472023360 = 263251731311
BaseRepresentation
bin11100001000101…
…000000101000000
31012220012021022200
4130020220011000
51431314221420
6114501033200
714461063254
oct3410500500
91186167280
10472023360
11222499156
121120b5800
1376a3b083
1446992264
152b68db90
hex1c228140

472023360 has 336 divisors, whose sum is σ = 1780227072. Its totient is φ = 114278400.

The previous prime is 472023347. The next prime is 472023421. The reversal of 472023360 is 63320274.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1517605 + ... + 1517915.

Almost surely, 2472023360 is an apocalyptic number.

472023360 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 472023360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (890113536).

472023360 is an abundant number, since it is smaller than the sum of its proper divisors (1308203712).

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

472023360 is a wasteful number, since it uses less digits than its factorization.

472023360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 472023360 is about 21726.0985913256. The cubic root of 472023360 is about 778.6121276515.

The spelling of 472023360 in words is "four hundred seventy-two million, twenty-three thousand, three hundred sixty".