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505685488 = 247211191307
BaseRepresentation
bin11110001001000…
…010010111110000
31022020112111002011
4132021002113300
52013423413423
6122102332304
715350153500
oct3611022760
91266474064
10505685488
1123a49aaa0
1212142a094
13809c5ba9
144b235a00
152e5dcb0d
hex1e2425f0

505685488 has 120 divisors (see below), whose sum is σ = 1253919744. Its totient is φ = 195350400.

The previous prime is 505685483. The next prime is 505685503. The reversal of 505685488 is 884586505.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505685483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1647031 + ... + 1647337.

Almost surely, 2505685488 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 505685488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (626959872).

505685488 is an abundant number, since it is smaller than the sum of its proper divisors (748234256).

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

505685488 is a wasteful number, since it uses less digits than its factorization.

505685488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 531 (or 518 counting only the distinct ones).

The product of its (nonzero) digits is 1536000, while the sum is 49.

The square root of 505685488 is about 22487.4517898316. The cubic root of 505685488 is about 796.6975779357.

The spelling of 505685488 in words is "five hundred five million, six hundred eighty-five thousand, four hundred eighty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 49 56 77 88 98 112 154 176 191 196 307 308 382 392 539 614 616 764 784 1078 1228 1232 1337 1528 2101 2149 2156 2456 2674 3056 3377 4202 4298 4312 4912 5348 6754 8404 8596 8624 9359 10696 13508 14707 15043 16808 17192 18718 21392 23639 27016 29414 30086 33616 34384 37436 47278 54032 58637 58828 60172 74872 94556 102949 117274 117656 120344 149744 165473 189112 205898 234548 235312 240688 330946 378224 410459 411796 469096 645007 661892 820918 823592 938192 1290014 1323784 1641836 1647184 2580028 2647568 2873213 3283672 4515049 5160056 5746426 6567344 9030098 10320112 11492852 18060196 22985704 31605343 36120392 45971408 63210686 72240784 126421372 252842744 505685488