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505725696 = 2832731357
BaseRepresentation
bin11110001001001…
…100001100000000
31022020121112020100
4132021030030000
52013431210241
6122103242400
715350411640
oct3611141400
91266545210
10505725696
1123a518223
12121449400
1380a0b298
144b246520
152e5e99b6
hex1e24c300

505725696 has 108 divisors (see below), whose sum is σ = 1666489552. Its totient is φ = 144488448.

The previous prime is 505725691. The next prime is 505725721. The reversal of 505725696 is 696527505.

505725696 is a `hidden beast` number, since 505 + 7 + 2 + 56 + 96 = 666.

It is not an unprimeable number, because it can be changed into a prime (505725691) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 450 + ... + 31806.

Almost surely, 2505725696 is an apocalyptic number.

505725696 is a gapful number since it is divisible by the number (56) 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 505725696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (833244776).

505725696 is an abundant number, since it is smaller than the sum of its proper divisors (1160763856).

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

505725696 is a wasteful number, since it uses less digits than its factorization.

505725696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31386 (or 31369 counting only the distinct ones).

The product of its (nonzero) digits is 567000, while the sum is 45.

The square root of 505725696 is about 22488.3457817599. The cubic root of 505725696 is about 796.7186930148.

The spelling of 505725696 in words is "five hundred five million, seven hundred twenty-five thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 256 288 336 384 448 504 576 672 768 896 1008 1152 1344 1792 2016 2304 2688 4032 5376 8064 16128 31357 62714 94071 125428 188142 219499 250856 282213 376284 438998 501712 564426 658497 752568 877996 1003424 1128852 1316994 1505136 1755992 1975491 2006848 2257704 2633988 3010272 3511984 3950982 4013696 4515408 5267976 6020544 7023968 7901964 8027392 9030816 10535952 12041088 14047936 15803928 18061632 21071904 24082176 28095872 31607856 36123264 42143808 56191744 63215712 72246528 84287616 126431424 168575232 252862848 505725696