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261439488 = 21434197
BaseRepresentation
bin11111001010101…
…00000000000000
3200012221111120000
433211110000000
51013412030423
641535320000
76323125152
oct1745240000
9605844500
10261439488
111246373a2
1273680000
134221952b
1426a16ad2
1517e43843
hexf954000

261439488 has 150 divisors (see below), whose sum is σ = 785031786. Its totient is φ = 86704128.

The previous prime is 261439483. The next prime is 261439501. The reversal of 261439488 is 884934162.

It is a happy number.

261439488 is a `hidden beast` number, since 26 + 143 + 9 + 488 = 666.

It can be written as a sum of positive squares in only one way, i.e., 260112384 + 1327104 = 16128^2 + 1152^2 .

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a nialpdrome in base 4 and base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (261439483) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1327006 + ... + 1327202.

Almost surely, 2261439488 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 261439488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392515893).

261439488 is an abundant number, since it is smaller than the sum of its proper divisors (523592298).

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

261439488 is an frugal number, since it uses more digits than its factorization.

261439488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 202 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 261439488 is about 16169.0905124562. The cubic root of 261439488 is about 639.4261522873.

The spelling of 261439488 in words is "two hundred sixty-one million, four hundred thirty-nine thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 197 216 256 288 324 384 394 432 512 576 591 648 768 788 864 1024 1152 1182 1296 1536 1576 1728 1773 2048 2304 2364 2592 3072 3152 3456 3546 4096 4608 4728 5184 5319 6144 6304 6912 7092 8192 9216 9456 10368 10638 12288 12608 13824 14184 15957 16384 18432 18912 20736 21276 24576 25216 27648 28368 31914 36864 37824 41472 42552 49152 50432 55296 56736 63828 73728 75648 82944 85104 100864 110592 113472 127656 147456 151296 165888 170208 201728 221184 226944 255312 302592 331776 340416 403456 442368 453888 510624 605184 663552 680832 806912 907776 1021248 1210368 1327104 1361664 1613824 1815552 2042496 2420736 2723328 3227648 3631104 4084992 4841472 5446656 7262208 8169984 9682944 10893312 14524416 16339968 21786624 29048832 32679936 43573248 65359872 87146496 130719744 261439488