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266542032 = 243192397131
BaseRepresentation
bin11111110001100…
…01101111010000
3200120112201221010
433320301233100
51021213321112
642240530520
76414366321
oct1770615720
9616481833
10266542032
11127501a79
1275320a40
13432b4ba3
1427584448
151860063c
hexfe31bd0

266542032 has 160 divisors (see below), whose sum is σ = 769950720. Its totient is φ = 79073280.

The previous prime is 266542021. The next prime is 266542033. The reversal of 266542032 is 230245662.

266542032 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (266542033) 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, 2034607 + ... + 2034737.

It is an arithmetic number, because the mean of its divisors is an integer number (4812192).

Almost surely, 2266542032 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 266542032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384975360).

266542032 is an abundant number, since it is smaller than the sum of its proper divisors (503408688).

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

266542032 is a wasteful number, since it uses less digits than its factorization.

266542032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 266542032 is about 16326.1150308333. The cubic root of 266542032 is about 643.5592962374.

Adding to 266542032 its reverse (230245662), we get a palindrome (496787694).

The spelling of 266542032 in words is "two hundred sixty-six million, five hundred forty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 19 23 24 38 46 48 57 69 76 92 97 114 131 138 152 184 194 228 262 276 291 304 368 388 393 437 456 524 552 582 776 786 874 912 1048 1104 1164 1311 1552 1572 1748 1843 2096 2231 2328 2489 2622 3013 3144 3496 3686 4462 4656 4978 5244 5529 6026 6288 6693 6992 7372 7467 8924 9039 9956 10488 11058 12052 12707 13386 14744 14934 17848 18078 19912 20976 22116 24104 25414 26772 29488 29868 35696 36156 38121 39824 42389 44232 48208 50828 53544 57247 59736 72312 76242 84778 88464 101656 107088 114494 119472 127167 144624 152484 169556 171741 203312 228988 241433 254334 292261 304968 339112 343482 457976 482866 508668 584522 609936 678224 686964 724299 876783 915952 965732 1017336 1169044 1373928 1448598 1753566 1931464 2034672 2338088 2747856 2897196 3507132 3862928 4676176 5552959 5794392 7014264 11105918 11588784 14028528 16658877 22211836 33317754 44423672 66635508 88847344 133271016 266542032