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472270656 = 2631113103167
BaseRepresentation
bin11100001001100…
…100011101000000
31012220122211112210
4130021210131000
51431400130111
6114510222120
714463143244
oct3411443500
91186584483
10472270656
11222647a30
121121b4940
1376ac67c0
1446a18424
152b6dc0a6
hex1c264740

472270656 has 224 divisors, whose sum is σ = 1491130368. Its totient is φ = 130037760.

The previous prime is 472270613. The next prime is 472270663. The reversal of 472270656 is 656072274.

It is a happy number.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2827885 + ... + 2828051.

It is an arithmetic number, because the mean of its divisors is an integer number (6656832).

Almost surely, 2472270656 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 472270656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (745565184).

472270656 is an abundant number, since it is smaller than the sum of its proper divisors (1018859712).

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

472270656 is a wasteful number, since it uses less digits than its factorization.

472270656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 39.

The square root of 472270656 is about 21731.7890657902. The cubic root of 472270656 is about 778.7480771723.

The spelling of 472270656 in words is "four hundred seventy-two million, two hundred seventy thousand, six hundred fifty-six".