Search a number
-
+
470026032 = 24372337593
BaseRepresentation
bin11100000001000…
…000011100110000
31012202102210111120
4130001000130300
51430311313112
6114350142240
714435104200
oct3401003460
91182383446
10470026032
11221354573
121114b1980
13764bbc18
14465d2400
152b3e6e8c
hex1c040730

470026032 has 120 divisors (see below), whose sum is σ = 1419056496. Its totient is φ = 133668864.

The previous prime is 470026027. The next prime is 470026033. The reversal of 470026032 is 230620074.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 470025993 and 470026011.

It is not an unprimeable number, because it can be changed into a prime (470026033) 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, 792328 + ... + 792920.

Almost surely, 2470026032 is an apocalyptic number.

470026032 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 470026032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (709528248).

470026032 is an abundant number, since it is smaller than the sum of its proper divisors (949030464).

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

470026032 is a wasteful number, since it uses less digits than its factorization.

470026032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 955 (or 942 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 24.

The square root of 470026032 is about 21680.0837636758. The cubic root of 470026032 is about 777.5123639573.

The spelling of 470026032 in words is "four hundred seventy million, twenty-six thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 168 196 294 336 337 392 588 593 674 784 1011 1176 1186 1348 1779 2022 2352 2359 2372 2696 3558 4044 4151 4718 4744 5392 7077 7116 8088 8302 9436 9488 12453 14154 14232 16176 16513 16604 18872 24906 28308 28464 29057 33026 33208 37744 49539 49812 56616 58114 66052 66416 87171 99078 99624 113232 116228 132104 174342 198156 199248 199841 232456 264208 348684 396312 399682 464912 599523 697368 792624 799364 1199046 1394736 1398887 1598728 2398092 2797774 3197456 4196661 4796184 5595548 8393322 9592368 9792209 11191096 16786644 19584418 22382192 29376627 33573288 39168836 58753254 67146576 78337672 117506508 156675344 235013016 470026032