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533976072 = 233729127863
BaseRepresentation
bin11111110100111…
…101010000001000
31101012202210110120
4133310331100020
52043144213242
6124552543240
716142502360
oct3764752010
91335683416
10533976072
11254463143
1212a9b1b20
138681ca96
1450cbb9a0
1531d2a1ec
hex1fd3d408

533976072 has 128 divisors (see below), whose sum is σ = 1592524800. Its totient is φ = 145974528.

The previous prime is 533976013. The next prime is 533976097. The reversal of 533976072 is 270679335.

It is a happy number.

It is a super-3 number, since 3×5339760723 (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 618313 + ... + 619175.

It is an arithmetic number, because the mean of its divisors is an integer number (12441600).

Almost surely, 2533976072 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 533976072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (796262400).

533976072 is an abundant number, since it is smaller than the sum of its proper divisors (1058548728).

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

533976072 is a wasteful number, since it uses less digits than its factorization.

533976072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1035 (or 1031 counting only the distinct ones).

The product of its (nonzero) digits is 238140, while the sum is 42.

The square root of 533976072 is about 23107.9222778683. The cubic root of 533976072 is about 811.2859074976.

The spelling of 533976072 in words is "five hundred thirty-three million, nine hundred seventy-six thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 29 42 56 58 84 87 116 127 168 174 203 232 254 348 381 406 508 609 696 762 812 863 889 1016 1218 1524 1624 1726 1778 2436 2589 2667 3048 3452 3556 3683 4872 5178 5334 6041 6904 7112 7366 10356 10668 11049 12082 14732 18123 20712 21336 22098 24164 25027 25781 29464 36246 44196 48328 50054 51562 72492 75081 77343 88392 100108 103124 109601 144984 150162 154686 175189 200216 206248 219202 300324 309372 328803 350378 438404 525567 600648 618744 657606 700756 767207 876808 1051134 1315212 1401512 1534414 2102268 2301621 2630424 3068828 3178429 4204536 4603242 6137656 6356858 9206484 9535287 12713716 18412968 19070574 22249003 25427432 38141148 44498006 66747009 76282296 88996012 133494018 177992024 266988036 533976072