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470404272 = 243134331741
BaseRepresentation
bin11100000010011…
…100110010110000
31012210011000100110
4130002130302300
51430410414042
6114402221320
714441241012
oct3402346260
91183130313
10470404272
11221592768
12111654840
13765c2130
14466901b2
152b46e09c
hex1c09ccb0

470404272 has 80 divisors (see below), whose sum is σ = 1312464608. Its totient is φ = 144322560.

The previous prime is 470404271. The next prime is 470404289. The reversal of 470404272 is 272404074.

It is not an unprimeable number, because it can be changed into a prime (470404271) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 269322 + ... + 271062.

Almost surely, 2470404272 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 470404272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (656232304).

470404272 is an abundant number, since it is smaller than the sum of its proper divisors (842060336).

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

470404272 is a wasteful number, since it uses less digits than its factorization.

470404272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2198 (or 2192 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 30.

The square root of 470404272 is about 21688.8052229716. The cubic root of 470404272 is about 777.7208683138.

The spelling of 470404272 in words is "four hundred seventy million, four hundred four thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 433 624 866 1299 1732 1741 2598 3464 3482 5196 5223 5629 6928 6964 10392 10446 11258 13928 16887 20784 20892 22516 22633 27856 33774 41784 45032 45266 67548 67899 83568 90064 90532 135096 135798 181064 270192 271596 362128 543192 753853 1086384 1507706 2261559 3015412 4523118 6030824 9046236 9800089 12061648 18092472 19600178 29400267 36184944 39200356 58800534 78400712 117601068 156801424 235202136 470404272