Search a number
-
+
1482038152 = 237194153641
BaseRepresentation
bin101100001010110…
…0001101110001000
310211021201100010221
41120111201232020
511013400210102
6403021115424
751504054640
oct13025415610
93737640127
101482038152
116a0632221
123543b8b74
131a807376a
14100b89520
158a19c637
hex58561b88

1482038152 has 128 divisors (see below), whose sum is σ = 3494534400. Its totient is φ = 575078400.

The previous prime is 1482038149. The next prime is 1482038329. The reversal of 1482038152 is 2518302841.

It is a happy 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 31 ways as a sum of consecutive naturals, for example, 2311752 + ... + 2312392.

It is an arithmetic number, because the mean of its divisors is an integer number (27301050).

Almost surely, 21482038152 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 1482038152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1747267200).

1482038152 is an abundant number, since it is smaller than the sum of its proper divisors (2012496248).

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

1482038152 is a wasteful number, since it uses less digits than its factorization.

1482038152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 767 (or 763 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 34.

The square root of 1482038152 is about 38497.2486289605. The cubic root of 1482038152 is about 1140.1267305506.

The spelling of 1482038152 in words is "one billion, four hundred eighty-two million, thirty-eight thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 14 19 28 38 41 53 56 76 82 106 133 152 164 212 266 287 328 371 424 532 574 641 742 779 1007 1064 1148 1282 1484 1558 2014 2173 2296 2564 2968 3116 4028 4346 4487 5128 5453 6232 7049 8056 8692 8974 10906 12179 14098 15211 17384 17948 21812 24358 26281 28196 30422 33973 35896 41287 43624 48716 52562 56392 60844 67946 82574 85253 97432 105124 121688 135892 165148 170506 183967 210248 237811 271784 289009 330296 341012 367934 475622 499339 578018 645487 682024 735868 951244 998678 1156036 1290974 1392893 1471736 1902488 1997356 2312072 2581948 2785786 3495373 3994712 4518409 5163896 5571572 6990746 9036818 9750251 11143144 13981492 18073636 19500502 26464967 27962984 36147272 39001004 52929934 78002008 105859868 185254769 211719736 370509538 741019076 1482038152