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1252005048 = 233277333389
BaseRepresentation
bin100101010100000…
…0001010010111000
310020020212110001100
41022220001102320
510031003130143
6324122451400
743011603330
oct11250012270
93206773040
101252005048
115927a6a18
122ab363b60
1316c5023b8
14bc3ca0c0
1574dae6d3
hex4aa014b8

1252005048 has 96 divisors (see below), whose sum is σ = 3881685600. Its totient is φ = 357122304.

The previous prime is 1252005047. The next prime is 1252005077. The reversal of 1252005048 is 8405002521.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1252005047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 367738 + ... + 371126.

It is an arithmetic number, because the mean of its divisors is an integer number (40434225).

Almost surely, 21252005048 is an apocalyptic number.

1252005048 is a gapful number since it is divisible by the number (18) 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 1252005048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1940842800).

1252005048 is an abundant number, since it is smaller than the sum of its proper divisors (2629680552).

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

1252005048 is a wasteful number, since it uses less digits than its factorization.

1252005048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4141 (or 4134 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 1252005048 is about 35383.6833582938. The cubic root of 1252005048 is about 1077.7930033284.

Adding to 1252005048 its reverse (8405002521), we get a palindrome (9657007569).

The spelling of 1252005048 in words is "one billion, two hundred fifty-two million, five thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 733 1466 2199 2932 3389 4398 5131 5864 6597 6778 8796 10167 10262 13194 13556 15393 17592 20334 20524 23723 26388 27112 30501 30786 40668 41048 46179 47446 52776 61002 61572 71169 81336 92358 94892 122004 123144 142338 184716 189784 213507 244008 284676 369432 427014 569352 854028 1708056 2484137 4968274 7452411 9936548 14904822 17388959 19873096 22357233 29809644 34777918 44714466 52166877 59619288 69555836 89428932 104333754 139111672 156500631 178857864 208667508 313001262 417335016 626002524 1252005048