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505526076 = 2233111725031
BaseRepresentation
bin11110001000011…
…011011100111100
31022020020101102000
4132020123130330
52013403313301
6122055102300
715345620646
oct3610333474
91266211360
10505526076
1123a3a1250
12121371990
138096b473
144b1d3896
152e5aa786
hex1e21b73c

505526076 has 96 divisors (see below), whose sum is σ = 1513935360. Its totient is φ = 144172800.

The previous prime is 505526071. The next prime is 505526107. The reversal of 505526076 is 670625505.

It is a super-2 number, since 2×5055260762 = 511113227031915552, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 505526076.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505526071) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7681 + ... + 32711.

It is an arithmetic number, because the mean of its divisors is an integer number (15770160).

Almost surely, 2505526076 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 505526076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (756967680).

505526076 is an abundant number, since it is smaller than the sum of its proper divisors (1008409284).

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

505526076 is a wasteful number, since it uses less digits than its factorization.

505526076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25072 (or 25064 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 36.

The square root of 505526076 is about 22483.9070448176. The cubic root of 505526076 is about 796.6138523098.

The spelling of 505526076 in words is "five hundred five million, five hundred twenty-six thousand, seventy-six".

Divisors: 1 2 3 4 6 9 11 12 17 18 22 27 33 34 36 44 51 54 66 68 99 102 108 132 153 187 198 204 297 306 374 396 459 561 594 612 748 918 1122 1188 1683 1836 2244 3366 5049 6732 10098 20196 25031 50062 75093 100124 150186 225279 275341 300372 425527 450558 550682 675837 826023 851054 901116 1101364 1276581 1351674 1652046 1702108 2478069 2553162 2703348 3304092 3829743 4680797 4956138 5106324 7434207 7659486 9361594 9912276 11489229 14042391 14868414 15318972 18723188 22978458 28084782 29736828 42127173 45956916 56169564 84254346 126381519 168508692 252763038 505526076