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1005532264 = 231129710709
BaseRepresentation
bin111011111011110…
…011010001101000
32121002002022221201
4323323303101220
54024404013024
6243440013544
733626611642
oct7373632150
92532068851
101005532264
11476662300
122409012b4
13130426309
149778b892
155d425744
hex3bef3468

1005532264 has 48 divisors (see below), whose sum is σ = 2093912100. Its totient is φ = 452305920.

The previous prime is 1005532259. The next prime is 1005532273. The reversal of 1005532264 is 4622355001.

It can be written as a sum of positive squares in 2 ways, for example, as 933791364 + 71740900 = 30558^2 + 8470^2 .

It is a super-2 number, since 2×10055322642 = 2022190267889931392, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 88542 + ... + 99250.

Almost surely, 21005532264 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 1005532264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1046956050).

1005532264 is an abundant number, since it is smaller than the sum of its proper divisors (1088379836).

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

1005532264 is a wasteful number, since it uses less digits than its factorization.

1005532264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10834 (or 10819 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

The square root of 1005532264 is about 31710.1287288462. The cubic root of 1005532264 is about 1001.8406977529.

Adding to 1005532264 its reverse (4622355001), we get a palindrome (5627887265).

The spelling of 1005532264 in words is "one billion, five million, five hundred thirty-two thousand, two hundred sixty-four".

Divisors: 1 2 4 8 11 22 44 88 97 121 194 242 388 484 776 968 1067 2134 4268 8536 10709 11737 21418 23474 42836 46948 85672 93896 117799 235598 471196 942392 1038773 1295789 2077546 2591578 4155092 5183156 8310184 10366312 11426503 22853006 45706012 91412024 125691533 251383066 502766132 1005532264