Search a number
-
+
6032464242 = 23719231033191
BaseRepresentation
bin1011001111001000…
…00001100101110010
3120120102010221020120
411213210001211302
544323302323432
62434332351110
7302330046210
oct54744014562
916512127216
106032464242
112616194742
121204315496
13751a2458c
1441325dcb0
152548ebc2c
hex167901972

6032464242 has 128 divisors (see below), whose sum is σ = 15297085440. Its totient is φ = 1546205760.

The previous prime is 6032464231. The next prime is 6032464247. The reversal of 6032464242 is 2424642306.

It is not an unprimeable number, because it can be changed into a prime (6032464247) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1888867 + ... + 1892057.

It is an arithmetic number, because the mean of its divisors is an integer number (119508480).

Almost surely, 26032464242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6032464242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7648542720).

6032464242 is an abundant number, since it is smaller than the sum of its proper divisors (9264621198).

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

6032464242 is a wasteful number, since it uses less digits than its factorization.

6032464242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3348.

The product of its (nonzero) digits is 55296, while the sum is 33.

The square root of 6032464242 is about 77668.9400082169. The cubic root of 6032464242 is about 1820.3920020655.

The spelling of 6032464242 in words is "six billion, thirty-two million, four hundred sixty-four thousand, two hundred forty-two".

Divisors: 1 2 3 6 7 14 19 21 23 38 42 46 57 69 103 114 133 138 161 206 266 309 322 399 437 483 618 721 798 874 966 1311 1442 1957 2163 2369 2622 3059 3191 3914 4326 4738 5871 6118 6382 7107 9177 9573 11742 13699 14214 16583 18354 19146 22337 27398 33166 41097 44674 45011 49749 60629 67011 73393 82194 90022 99498 121258 134022 135033 146786 181887 220179 270066 315077 328673 363774 424403 440358 513751 630154 657346 848806 945231 986019 1027502 1273209 1394467 1541253 1890462 1972038 2300711 2546418 2788934 3082506 4183401 4601422 6244787 6902133 7559479 8366802 9761269 12489574 13804266 15118958 18734361 19522538 22678437 29283807 37468722 43713509 45356874 52916353 58567614 87427018 105832706 131140527 143630101 158749059 262281054 287260202 317498118 430890303 861780606 1005410707 2010821414 3016232121 6032464242