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1006312252 = 221171833881
BaseRepresentation
bin111011111110110…
…001101100111100
32121010112221220011
4323332301230330
54030103443002
6243504433004
733636340651
oct7376615474
92533487804
101006312252
11477045320
12241018764
1313063a34a
1497911c28
155d52b8d7
hex3bfb1b3c

1006312252 has 48 divisors (see below), whose sum is σ = 1972180224. Its totient is φ = 445424000.

The previous prime is 1006312247. The next prime is 1006312259. The reversal of 1006312252 is 2522136001.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1006312259) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 257352 + ... + 261232.

It is an arithmetic number, because the mean of its divisors is an integer number (41087088).

Almost surely, 21006312252 is an apocalyptic number.

It is an amenable number.

1006312252 is a deficient number, since it is larger than the sum of its proper divisors (965867972).

1006312252 is a wasteful number, since it uses less digits than its factorization.

1006312252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4050 (or 4048 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 1006312252 is about 31722.4250649284. The cubic root of 1006312252 is about 1002.0996722907.

Adding to 1006312252 its reverse (2522136001), we get a palindrome (3528448253).

The spelling of 1006312252 in words is "one billion, six million, three hundred twelve thousand, two hundred fifty-two".

Divisors: 1 2 4 11 22 44 71 83 142 166 284 332 781 913 1562 1826 3124 3652 3881 5893 7762 11786 15524 23572 42691 64823 85382 129646 170764 259292 275551 322123 551102 644246 1102204 1288492 3031061 3543353 6062122 7086706 12124244 14173412 22870733 45741466 91482932 251578063 503156126 1006312252