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536017416 = 2331121311409
BaseRepresentation
bin11111111100101…
…111101000001000
31101100121111122220
4133330233220020
52044210024131
6125104414040
716166033664
oct3774575010
91340544586
10536017416
11255627900
1212b617320
1387085c8c
145128d8a4
15320cee96
hex1ff2fa08

536017416 has 96 divisors (see below), whose sum is σ = 1485237600. Its totient is φ = 161075200.

The previous prime is 536017399. The next prime is 536017453. The reversal of 536017416 is 614710635.

It is a Harshad number since it is a multiple of its sum of digits (33).

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 23 ways as a sum of consecutive naturals, for example, 379720 + ... + 381128.

It is an arithmetic number, because the mean of its divisors is an integer number (15471225).

Almost surely, 2536017416 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 536017416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (742618800).

536017416 is an abundant number, since it is smaller than the sum of its proper divisors (949220184).

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

536017416 is a wasteful number, since it uses less digits than its factorization.

536017416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1571 (or 1556 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 536017416 is about 23152.0499308377. The cubic root of 536017416 is about 812.3184179941.

The spelling of 536017416 in words is "five hundred thirty-six million, seventeen thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 121 131 132 242 262 264 363 393 484 524 726 786 968 1048 1409 1441 1452 1572 2818 2882 2904 3144 4227 4323 5636 5764 8454 8646 11272 11528 15499 15851 16908 17292 30998 31702 33816 34584 46497 47553 61996 63404 92994 95106 123992 126808 170489 184579 185988 190212 340978 369158 371976 380424 511467 553737 681956 738316 1022934 1107474 1363912 1476632 2030369 2045868 2214948 4060738 4091736 4429896 6091107 8121476 12182214 16242952 22334059 24364428 44668118 48728856 67002177 89336236 134004354 178672472 268008708 536017416