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536345082 = 2327213291613
BaseRepresentation
bin11111111101111…
…111100111111010
31101101020011010200
4133331333213322
52044301020312
6125115423030
716201600200
oct3775774772
91341204120
10536345082
11255830aa9
1212b754a76
138716c170
1451337070
15321470dc
hex1ff7f9fa

536345082 has 144 divisors (see below), whose sum is σ = 1506927240. Its totient is φ = 136491264.

The previous prime is 536345077. The next prime is 536345101. The reversal of 536345082 is 280543635.

It is a happy number.

536345082 is a `hidden beast` number, since 536 + 3 + 45 + 0 + 82 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 407272761 + 129072321 = 20181^2 + 11361^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 331708 + ... + 333320.

Almost surely, 2536345082 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 536345082, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (753463620).

536345082 is an abundant number, since it is smaller than the sum of its proper divisors (970582158).

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

536345082 is a wasteful number, since it uses less digits than its factorization.

536345082 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1677 (or 1667 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 536345082 is about 23159.1252425475. The cubic root of 536345082 is about 812.4839069633.

The spelling of 536345082 in words is "five hundred thirty-six million, three hundred forty-five thousand, eighty-two".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 29 39 42 49 58 63 78 87 91 98 117 126 147 174 182 203 234 261 273 294 377 406 441 522 546 609 637 754 819 882 1131 1218 1274 1421 1613 1638 1827 1911 2262 2639 2842 3226 3393 3654 3822 4263 4839 5278 5733 6786 7917 8526 9678 11291 11466 12789 14517 15834 18473 20969 22582 23751 25578 29034 33873 36946 41938 46777 47502 55419 62907 67746 79037 93554 101619 110838 125814 140331 146783 158074 166257 188721 203238 237111 280662 293566 327439 332514 377442 420993 440349 474222 608101 654878 711333 841986 880698 982317 1027481 1216202 1321047 1422666 1824303 1964634 2054962 2292073 2642094 2946951 3082443 3648606 4256707 4584146 5472909 5893902 6164886 6876219 8513414 9247329 10945818 12770121 13752438 18494658 20628657 25540242 29796949 38310363 41257314 59593898 76620726 89390847 178781694 268172541 536345082