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535150368 = 25334115107
BaseRepresentation
bin11111111001011…
…011111100100000
31101021222110022000
4133321123330200
52043444302433
6125034044000
716155463104
oct3771337440
91337873260
10535150368
11255095435
1212b279600
1386b4142c
1451105904
1531ead113
hex1fe5bf20

535150368 has 96 divisors (see below), whose sum is σ = 1599030720. Its totient is φ = 174021120.

The previous prime is 535150349. The next prime is 535150391. The reversal of 535150368 is 863051535.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27871 + ... + 42977.

It is an arithmetic number, because the mean of its divisors is an integer number (16656570).

Almost surely, 2535150368 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 535150368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (799515360).

535150368 is an abundant number, since it is smaller than the sum of its proper divisors (1063880352).

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

535150368 is a wasteful number, since it uses less digits than its factorization.

535150368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15167 (or 15153 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The square root of 535150368 is about 23133.3172718484. The cubic root of 535150368 is about 811.8801864845.

The spelling of 535150368 in words is "five hundred thirty-five million, one hundred fifty thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 41 48 54 72 82 96 108 123 144 164 216 246 288 328 369 432 492 656 738 864 984 1107 1312 1476 1968 2214 2952 3936 4428 5904 8856 11808 15107 17712 30214 35424 45321 60428 90642 120856 135963 181284 241712 271926 362568 407889 483424 543852 619387 725136 815778 1087704 1238774 1450272 1631556 1858161 2175408 2477548 3263112 3716322 4350816 4955096 5574483 6526224 7432644 9910192 11148966 13052448 14865288 16723449 19820384 22297932 29730576 33446898 44595864 59461152 66893796 89191728 133787592 178383456 267575184 535150368