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261143424 = 2732397571
BaseRepresentation
bin11111001000010…
…11101110000000
3200012101110102200
433210023232000
51013323042144
641525113200
76320453043
oct1744135600
9605343380
10261143424
11124454a13
1273558800
1342144849
142697ac5a
1517dd5c69
hexf90bb80

261143424 has 96 divisors (see below), whose sum is σ = 754679640. Its totient is φ = 86676480.

The previous prime is 261143417. The next prime is 261143431. The reversal of 261143424 is 424341162.

It is a happy number.

261143424 is a `hidden beast` number, since 2 + 611 + 4 + 3 + 42 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (261143417) and next prime (261143431).

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 457059 + ... + 457629.

Almost surely, 2261143424 is an apocalyptic number.

261143424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 261143424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377339820).

261143424 is an abundant number, since it is smaller than the sum of its proper divisors (493536216).

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

261143424 is a wasteful number, since it uses less digits than its factorization.

261143424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 988 (or 973 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 261143424 is about 16159.9326731271. The cubic root of 261143424 is about 639.1846909689.

Adding to 261143424 its reverse (424341162), we get a palindrome (685484586).

The spelling of 261143424 in words is "two hundred sixty-one million, one hundred forty-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 397 571 576 794 1142 1152 1191 1588 1713 2284 2382 3176 3426 3573 4568 4764 5139 6352 6852 7146 9136 9528 10278 12704 13704 14292 18272 19056 20556 25408 27408 28584 36544 38112 41112 50816 54816 57168 73088 76224 82224 109632 114336 152448 164448 219264 226687 228672 328896 453374 457344 657792 680061 906748 1360122 1813496 2040183 2720244 3626992 4080366 5440488 7253984 8160732 10880976 14507968 16321464 21761952 29015936 32642928 43523904 65285856 87047808 130571712 261143424