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535134480 = 24354747441
BaseRepresentation
bin11111111001011…
…000000100010000
31101021221122111120
4133321120010100
52043443300410
6125033442240
716155365556
oct3771300420
91337848446
10535134480
11255084501
1212b270380
1386b3712a
14510ddbd6
1531ea8570
hex1fe58110

535134480 has 80 divisors (see below), whose sum is σ = 1694248704. Its totient is φ = 139663360.

The previous prime is 535134473. The next prime is 535134503. The reversal of 535134480 is 84431535.

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 12441 + ... + 35000.

Almost surely, 2535134480 is an apocalyptic number.

It is an amenable number.

535134480 is an abundant number, since it is smaller than the sum of its proper divisors (1159114224).

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

535134480 is a wasteful number, since it uses less digits than its factorization.

535134480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47504 (or 47498 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The square root of 535134480 is about 23132.9738684848. The cubic root of 535134480 is about 811.8721518081.

The spelling of 535134480 in words is "five hundred thirty-five million, one hundred thirty-four thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 47 48 60 80 94 120 141 188 235 240 282 376 470 564 705 752 940 1128 1410 1880 2256 2820 3760 5640 11280 47441 94882 142323 189764 237205 284646 379528 474410 569292 711615 759056 948820 1138584 1423230 1897640 2229727 2277168 2846460 3795280 4459454 5692920 6689181 8918908 11148635 11385840 13378362 17837816 22297270 26756724 33445905 35675632 44594540 53513448 66891810 89189080 107026896 133783620 178378160 267567240 535134480