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535478504 = 2311293753107
BaseRepresentation
bin11111111010101…
…100000011101000
31101022121010102012
4133322230003220
52044040303004
6125045055052
716161330551
oct3772540350
91338533365
10535478504
11255299a20
1212b3b7488
1386c278b2
145118d328
153202546e
hex1feac0e8

535478504 has 128 divisors (see below), whose sum is σ = 1196726400. Its totient is φ = 222243840.

The previous prime is 535478497. The next prime is 535478549. The reversal of 535478504 is 405874535.

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5004419 + ... + 5004525.

It is an arithmetic number, because the mean of its divisors is an integer number (9349425).

Almost surely, 2535478504 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 535478504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (598363200).

535478504 is an abundant number, since it is smaller than the sum of its proper divisors (661247896).

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

535478504 is a wasteful number, since it uses less digits than its factorization.

535478504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 336000, while the sum is 41.

The square root of 535478504 is about 23140.4084665764. The cubic root of 535478504 is about 812.0460916834.

The spelling of 535478504 in words is "five hundred thirty-five million, four hundred seventy-eight thousand, five hundred four".

Divisors: 1 2 4 8 11 22 29 37 44 53 58 74 88 106 107 116 148 212 214 232 296 319 407 424 428 583 638 814 856 1073 1166 1177 1276 1537 1628 1961 2146 2332 2354 2552 3074 3103 3256 3922 3959 4292 4664 4708 5671 6148 6206 7844 7918 8584 9416 11342 11803 12296 12412 15688 15836 16907 21571 22684 23606 24824 31672 33814 34133 43142 43549 45368 47212 56869 62381 67628 68266 86284 87098 94424 113738 114811 124762 135256 136532 164459 172568 174196 209827 227476 229622 249524 273064 328918 348392 419654 454952 459244 499048 625559 657836 839308 918488 1251118 1262921 1315672 1678616 1809049 2308097 2502236 2525842 3618098 4616194 5004472 5051684 6084983 7236196 9232388 10103368 12169966 14472392 18464776 24339932 48679864 66934813 133869626 267739252 535478504