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535245144 = 233723711951
BaseRepresentation
bin11111111001110…
…011000101011000
31101022011021022020
4133321303011120
52044010321034
6125040054440
716156336320
oct3771630530
91338137266
10535245144
1125514a665
1212b304420
1386b75605
145112c280
1531ecb249
hex1fe73158

535245144 has 128 divisors (see below), whose sum is σ = 1619066880. Its totient is φ = 144144000.

The previous prime is 535245103. The next prime is 535245223. The reversal of 535245144 is 441542535.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 273369 + ... + 275319.

It is an arithmetic number, because the mean of its divisors is an integer number (12648960).

Almost surely, 2535245144 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 535245144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (809533440).

535245144 is an abundant number, since it is smaller than the sum of its proper divisors (1083821736).

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

535245144 is a wasteful number, since it uses less digits than its factorization.

535245144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2061 (or 2057 counting only the distinct ones).

The product of its digits is 48000, while the sum is 33.

The square root of 535245144 is about 23135.3656552042. The cubic root of 535245144 is about 811.9281120889.

Adding to 535245144 its reverse (441542535), we get a palindrome (976787679).

The spelling of 535245144 in words is "five hundred thirty-five million, two hundred forty-five thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 23 24 28 42 46 56 69 71 84 92 138 142 161 168 184 213 276 284 322 426 483 497 552 568 644 852 966 994 1288 1491 1633 1704 1932 1951 1988 2982 3266 3864 3902 3976 4899 5853 5964 6532 7804 9798 11431 11706 11928 13064 13657 15608 19596 22862 23412 27314 34293 39192 40971 44873 45724 46824 54628 68586 81942 89746 91448 109256 134619 137172 138521 163884 179492 269238 274344 277042 314111 327768 358984 415563 538476 554084 628222 831126 942333 969647 1076952 1108168 1256444 1662252 1884666 1939294 2512888 2908941 3185983 3324504 3769332 3878588 5817882 6371966 7538664 7757176 9557949 11635764 12743932 19115898 22301881 23271528 25487864 38231796 44603762 66905643 76463592 89207524 133811286 178415048 267622572 535245144