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472635000 = 233554389
BaseRepresentation
bin11100001010111…
…101011001111000
31012221100100100000
4130022331121320
51431443310000
6114522113000
714466221415
oct3412753170
91187310300
10472635000
11222876742
1211234b760
1376bc35a6
1446ab110c
152b760000
hex1c2bd678

472635000 has 240 divisors, whose sum is σ = 1663061400. Its totient is φ = 125712000.

The previous prime is 472634941. The next prime is 472635047. The reversal of 472635000 is 536274.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1214806 + ... + 1215194.

Almost surely, 2472635000 is an apocalyptic number.

472635000 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 472635000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (831530700).

472635000 is an abundant number, since it is smaller than the sum of its proper divisors (1190426400).

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

472635000 is an equidigital number, since it uses as much as digits as its factorization.

472635000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 472635000 is about 21740.1701925261. The cubic root of 472635000 is about 778.9482867013.

The spelling of 472635000 in words is "four hundred seventy-two million, six hundred thirty-five thousand".