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472582896 = 243191912713
BaseRepresentation
bin11100001010110…
…000101011110000
31012221020200212020
4130022300223300
51431440123041
6114521031440
714465613462
oct3412605360
91187220766
10472582896
11222840585
12112325580
1376ba5966
1446a9a132
152b74e866
hex1c2b0af0

472582896 has 80 divisors (see below), whose sum is σ = 1292298240. Its totient is φ = 148400640.

The previous prime is 472582883. The next prime is 472582937. The reversal of 472582896 is 698285274.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 172836 + ... + 175548.

It is an arithmetic number, because the mean of its divisors is an integer number (16153728).

Almost surely, 2472582896 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 472582896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (646149120).

472582896 is an abundant number, since it is smaller than the sum of its proper divisors (819715344).

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

472582896 is a wasteful number, since it uses less digits than its factorization.

472582896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2934 (or 2928 counting only the distinct ones).

The product of its digits is 1935360, while the sum is 51.

The square root of 472582896 is about 21738.9718248127. The cubic root of 472582896 is about 778.9196615022.

The spelling of 472582896 in words is "four hundred seventy-two million, five hundred eighty-two thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 191 228 304 382 456 573 764 912 1146 1528 2292 2713 3056 3629 4584 5426 7258 8139 9168 10852 10887 14516 16278 21704 21774 29032 32556 43408 43548 51547 58064 65112 87096 103094 130224 154641 174192 206188 309282 412376 518183 618564 824752 1036366 1237128 1554549 2072732 2474256 3109098 4145464 6218196 8290928 9845477 12436392 19690954 24872784 29536431 39381908 59072862 78763816 118145724 157527632 236291448 472582896