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472000830 = 23572547587
BaseRepresentation
bin11100001000100…
…010100100111110
31012220011010102020
4130020202210332
51431313011310
6114500341010
714460640500
oct3410424476
91186133366
10472000830
11222483234
121120a4766
1376a30a42
1446987d70
152b687170
hex1c22293e

472000830 has 96 divisors (see below), whose sum is σ = 1322407296. Its totient is φ = 107505216.

The previous prime is 472000813. The next prime is 472000849. The reversal of 472000830 is 38000274.

It is a self number, because there is not a number n which added to its sum of digits gives 472000830.

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 47 ways as a sum of consecutive naturals, for example, 803797 + ... + 804383.

It is an arithmetic number, because the mean of its divisors is an integer number (13775076).

Almost surely, 2472000830 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 472000830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (661203648).

472000830 is an abundant number, since it is smaller than the sum of its proper divisors (850406466).

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

472000830 is a wasteful number, since it uses less digits than its factorization.

472000830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1158 (or 1151 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 472000830 is about 21725.5800843154. The cubic root of 472000830 is about 778.5997395567.

The spelling of 472000830 in words is "four hundred seventy-two million, eight hundred thirty", and thus it is an aban number.

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 49 70 98 105 147 210 245 294 490 547 587 735 1094 1174 1470 1641 1761 2735 2935 3282 3522 3829 4109 5470 5870 7658 8205 8218 8805 11487 12327 16410 17610 19145 20545 22974 24654 26803 28763 38290 41090 53606 57435 57526 61635 80409 86289 114870 123270 134015 143815 160818 172578 268030 287630 321089 402045 431445 642178 804090 862890 963267 1605445 1926534 2247623 3210890 4495246 4816335 6742869 9632670 11238115 13485738 15733361 22476230 31466722 33714345 47200083 67428690 78666805 94400166 157333610 236000415 472000830