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536553472 = 2117132879
BaseRepresentation
bin11111111110110…
…010100000000000
31101101121201222211
4133332302200000
52044324202342
6125124111504
716203425560
oct3776624000
91341551884
10536553472
11255963624
1212b835594
1387212c80
145138cda0
1532188c17
hex1ffb2800

536553472 has 96 divisors (see below), whose sum is σ = 1320883200. Its totient is φ = 212189184.

The previous prime is 536553421. The next prime is 536553497. The reversal of 536553472 is 274355635.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 184929 + ... + 187807.

It is an arithmetic number, because the mean of its divisors is an integer number (13759200).

Almost surely, 2536553472 is an apocalyptic number.

536553472 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 536553472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660441600).

536553472 is an abundant number, since it is smaller than the sum of its proper divisors (784329728).

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

536553472 is a wasteful number, since it uses less digits than its factorization.

536553472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2921 (or 2901 counting only the distinct ones).

The product of its digits is 378000, while the sum is 40.

The square root of 536553472 is about 23163.6238961005. The cubic root of 536553472 is about 812.5891200706.

The spelling of 536553472 in words is "five hundred thirty-six million, five hundred fifty-three thousand, four hundred seventy-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 128 182 208 224 256 364 416 448 512 728 832 896 1024 1456 1664 1792 2048 2879 2912 3328 3584 5758 5824 6656 7168 11516 11648 13312 14336 20153 23032 23296 26624 37427 40306 46064 46592 74854 80612 92128 93184 149708 161224 184256 186368 261989 299416 322448 368512 523978 598832 644896 737024 1047956 1197664 1289792 1474048 2095912 2395328 2579584 2948096 4191824 4790656 5159168 5896192 8383648 9581312 10318336 16767296 19162624 20636672 33534592 38325248 41273344 67069184 76650496 134138368 268276736 536553472