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1005355452 = 223174928213
BaseRepresentation
bin111011111011001…
…000000110111100
32121001202100102010
4323323020012330
54024332333302
6243432131220
733625244313
oct7373100674
92531670363
101005355452
11476551482
12240836b10
131303939aa
149774327a
155d3dd16c
hex3bec81bc

1005355452 has 24 divisors (see below), whose sum is σ = 2483819856. Its totient is φ = 315405568.

The previous prime is 1005355423. The next prime is 1005355459. The reversal of 1005355452 is 2545535001.

It is a happy number.

It is a super-2 number, since 2×10053554522 = 2021479169732248608, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005355459) 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 7 ways as a sum of consecutive naturals, for example, 2463903 + ... + 2464310.

It is an arithmetic number, because the mean of its divisors is an integer number (103492494).

Almost surely, 21005355452 is an apocalyptic number.

1005355452 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1005355452 is an abundant number, since it is smaller than the sum of its proper divisors (1478464404).

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

1005355452 is a wasteful number, since it uses less digits than its factorization.

1005355452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4928237 (or 4928235 counting only the distinct ones).

The product of its (nonzero) digits is 15000, while the sum is 30.

The square root of 1005355452 is about 31707.3406642689. The cubic root of 1005355452 is about 1001.7819733515.

The spelling of 1005355452 in words is "one billion, five million, three hundred fifty-five thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 204 4928213 9856426 14784639 19712852 29569278 59138556 83779621 167559242 251338863 335118484 502677726 1005355452