Search a number
-
+
470928726 = 232238912781
BaseRepresentation
bin11100000100011…
…100110101010110
31012211010122202200
4130010130311112
51431024204401
6114421345330
714445554022
oct3404346526
91184118680
10470928726
112219107a4
12111868246
1376746a68
1446789382
152b524686
hex1c11cd56

470928726 has 48 divisors (see below), whose sum is σ = 1076755680. Its totient is φ = 148452480.

The previous prime is 470928677. The next prime is 470928727. The reversal of 470928726 is 627829074.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (470928727) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30456 + ... + 43236.

It is an arithmetic number, because the mean of its divisors is an integer number (22432410).

Almost surely, 2470928726 is an apocalyptic number.

470928726 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 470928726, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538377840).

470928726 is an abundant number, since it is smaller than the sum of its proper divisors (605826954).

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

470928726 is a wasteful number, since it uses less digits than its factorization.

470928726 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12901 (or 12898 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 470928726 is about 21700.8922858024. The cubic root of 470928726 is about 778.0097881195.

The spelling of 470928726 in words is "four hundred seventy million, nine hundred twenty-eight thousand, seven hundred twenty-six".

Divisors: 1 2 3 6 9 18 23 46 69 89 138 178 207 267 414 534 801 1602 2047 4094 6141 12282 12781 18423 25562 36846 38343 76686 115029 230058 293963 587926 881889 1137509 1763778 2275018 2645667 3412527 5291334 6825054 10237581 20475162 26162707 52325414 78488121 156976242 235464363 470928726