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470627928 = 23338326251
BaseRepresentation
bin11100000011010…
…011011001011000
31012210120101011000
4130003103121120
51430440043203
6114411105000
714443162041
oct3403233130
91183511130
10470627928
11221725801
12111742160
137666cb84
144670b8c8
152b4b54a3
hex1c0d3658

470627928 has 64 divisors (see below), whose sum is σ = 1323100800. Its totient is φ = 154980000.

The previous prime is 470627893. The next prime is 470627947. The reversal of 470627928 is 829726074.

It is a super-2 number, since 2×4706279282 = 442981293227146368, which contains 22 as substring.

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, 4803 + ... + 31053.

It is an arithmetic number, because the mean of its divisors is an integer number (20673450).

Almost surely, 2470627928 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 470627928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (661550400).

470627928 is an abundant number, since it is smaller than the sum of its proper divisors (852472872).

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

470627928 is a wasteful number, since it uses less digits than its factorization.

470627928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26349 (or 26339 counting only the distinct ones).

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

The square root of 470627928 is about 21693.9606342410. The cubic root of 470627928 is about 777.8441058416.

The spelling of 470627928 in words is "four hundred seventy million, six hundred twenty-seven thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 83 108 166 216 249 332 498 664 747 996 1494 1992 2241 2988 4482 5976 8964 17928 26251 52502 78753 105004 157506 210008 236259 315012 472518 630024 708777 945036 1417554 1890072 2178833 2835108 4357666 5670216 6536499 8715332 13072998 17430664 19609497 26145996 39218994 52291992 58828491 78437988 117656982 156875976 235313964 470627928