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1005402252 = 2231915728087
BaseRepresentation
bin111011111011010…
…011100010001100
32121001211201121110
4323323103202030
54024340333002
6243433132020
733625530621
oct7373234214
92531751543
101005402252
11476583658
1224085a010
131303ac09a
1497756348
155d3ebe6c
hex3bed388c

1005402252 has 48 divisors (see below), whose sum is σ = 2485226240. Its totient is φ = 315461952.

The previous prime is 1005402241. The next prime is 1005402257. The reversal of 1005402252 is 2522045001.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1005402257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21753 + ... + 49839.

Almost surely, 21005402252 is an apocalyptic number.

1005402252 is a gapful number since it is divisible by the number (12) 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 1005402252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1242613120).

1005402252 is an abundant number, since it is smaller than the sum of its proper divisors (1479823988).

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

1005402252 is a wasteful number, since it uses less digits than its factorization.

1005402252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28270 (or 28268 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 21.

The square root of 1005402252 is about 31708.0786551314. The cubic root of 1005402252 is about 1001.7975176610.

Adding to 1005402252 its reverse (2522045001), we get a palindrome (3527447253).

The spelling of 1005402252 in words is "one billion, five million, four hundred two thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 157 228 314 471 628 942 1884 2983 5966 8949 11932 17898 28087 35796 56174 84261 112348 168522 337044 533653 1067306 1600959 2134612 3201918 4409659 6403836 8819318 13228977 17638636 26457954 52915908 83783521 167567042 251350563 335134084 502701126 1005402252