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1005356052 = 2232228712211
BaseRepresentation
bin111011111011001…
…000010000010100
32121001202101020100
4323323020100110
54024332343202
6243432134100
733625246131
oct7373102024
92531671210
101005356052
11476551978
12240837330
1313039404c
1497743588
155d3dd41c
hex3bec8414

1005356052 has 36 divisors (see below), whose sum is σ = 2542636096. Its totient is φ = 334944720.

The previous prime is 1005356017. The next prime is 1005356069. The reversal of 1005356052 is 2506535001.

1005356052 is a `hidden beast` number, since 1 + 0 + 0 + 53 + 5 + 605 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

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, 76227 + ... + 88437.

Almost surely, 21005356052 is an apocalyptic number.

1005356052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1005356052 is an abundant number, since it is smaller than the sum of its proper divisors (1537280044).

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

1005356052 is a wasteful number, since it uses less digits than its factorization.

1005356052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14508 (or 14503 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The square root of 1005356052 is about 31707.3501257989. The cubic root of 1005356052 is about 1001.7821726405.

The spelling of 1005356052 in words is "one billion, five million, three hundred fifty-six thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 2287 4574 6861 9148 12211 13722 20583 24422 27444 36633 41166 48844 73266 82332 109899 146532 219798 439596 27926557 55853114 83779671 111706228 167559342 251339013 335118684 502678026 1005356052