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470471040 = 273251361103
BaseRepresentation
bin11100000010101…
…101000110000000
31012210021101221100
4130002231012000
51430420033130
6114403454400
714441636454
oct3402550600
91183241840
10470471040
11221628946
12111687400
1376616640
14466aa664
152b483c60
hex1c0ad180

470471040 has 384 divisors, whose sum is σ = 1795510080. Its totient is φ = 112803840.

The previous prime is 470471033. The next prime is 470471051. The reversal of 470471040 is 40174074.

470471040 is nontrivially palindromic in base 14.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 470470995 and 470471013.

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, 4567629 + ... + 4567731.

Almost surely, 2470471040 is an apocalyptic number.

470471040 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 470471040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (897755040).

470471040 is an abundant number, since it is smaller than the sum of its proper divisors (1325039040).

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

470471040 is a wasteful number, since it uses less digits than its factorization.

470471040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 27.

The square root of 470471040 is about 21690.3443956061. The cubic root of 470471040 is about 777.7576624881.

The spelling of 470471040 in words is "four hundred seventy million, four hundred seventy-one thousand, forty".