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472435340 = 2251318110039
BaseRepresentation
bin11100001010001…
…100101010001100
31012220222012110012
4130022030222030
51431420412330
6114513532352
714464430336
oct3412145214
91186865405
10472435340
1122274a733
121122740b8
1376b53750
1446a5c456
152b720c95
hex1c28ca8c

472435340 has 48 divisors (see below), whose sum is σ = 1074440640. Its totient is φ = 173456640.

The previous prime is 472435339. The next prime is 472435393. The reversal of 472435340 is 43534274.

It is a junction number, because it is equal to n+sod(n) for n = 472435297 and 472435306.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42041 + ... + 52079.

It is an arithmetic number, because the mean of its divisors is an integer number (22384180).

Almost surely, 2472435340 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 472435340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537220320).

472435340 is an abundant number, since it is smaller than the sum of its proper divisors (602005300).

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

472435340 is a wasteful number, since it uses less digits than its factorization.

472435340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10242 (or 10240 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 32.

The square root of 472435340 is about 21735.5777470947. The cubic root of 472435340 is about 778.8385849089.

The spelling of 472435340 in words is "four hundred seventy-two million, four hundred thirty-five thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 181 260 362 724 905 1810 2353 3620 4706 9412 10039 11765 20078 23530 40156 47060 50195 100390 130507 200780 261014 522028 652535 1305070 1817059 2610140 3634118 7268236 9085295 18170590 23621767 36341180 47243534 94487068 118108835 236217670 472435340