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1042405252 = 2271773131229
BaseRepresentation
bin111110001000011…
…101011110000100
32200122110200011221
4332020131132010
54113323432002
6251234210124
734555204240
oct7610353604
92618420157
101042405252
11495457549
12251123944
13137c66755
149c629420
15617aac37
hex3e21d784

1042405252 has 96 divisors (see below), whose sum is σ = 2264613120. Its totient is φ = 409743360.

The previous prime is 1042405213. The next prime is 1042405283. The reversal of 1042405252 is 2525042401.

1042405252 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4551874 + ... + 4552102.

It is an arithmetic number, because the mean of its divisors is an integer number (23589720).

Almost surely, 21042405252 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 1042405252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1132306560).

1042405252 is an abundant number, since it is smaller than the sum of its proper divisors (1222207868).

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

1042405252 is a wasteful number, since it uses less digits than its factorization.

1042405252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 25.

The square root of 1042405252 is about 32286.3013056621. The cubic root of 1042405252 is about 1013.9398613359.

Adding to 1042405252 its reverse (2525042401), we get a palindrome (3567447653).

The spelling of 1042405252 in words is "one billion, forty-two million, four hundred five thousand, two hundred fifty-two".

Divisors: 1 2 4 7 14 17 28 34 68 73 119 131 146 229 238 262 292 458 476 511 524 916 917 1022 1241 1603 1834 2044 2227 2482 3206 3668 3893 4454 4964 6412 7786 8687 8908 9563 15572 15589 16717 17374 19126 27251 29999 31178 33434 34748 38252 54502 59998 62356 66868 66941 109004 117019 119996 133882 162571 209993 234038 267764 284189 325142 419986 468076 509983 568378 650284 839972 1019966 1136756 1137997 1989323 2039932 2189927 2275994 3569881 3978646 4379854 4551988 7139762 7957292 8759708 14279524 15329489 30658978 37228759 61317956 74457518 148915036 260601313 521202626 1042405252