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505140672 = 2637873343
BaseRepresentation
bin11110000110111…
…101010111000000
31022012111210201210
4132012331113000
52013304000142
6122042530120
715342424221
oct3606752700
91265453653
10505140672
1123a158733
12121206940
1380864c0a
144b133248
152e53149c
hex1e1bd5c0

505140672 has 56 divisors (see below), whose sum is σ = 1338616576. Its totient is φ = 168115968.

The previous prime is 505140661. The next prime is 505140679. The reversal of 505140672 is 276041505.

It is a super-3 number, since 3×5051406723 (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505140679) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 149433 + ... + 152775.

Almost surely, 2505140672 is an apocalyptic number.

It is an amenable number.

505140672 is an abundant number, since it is smaller than the sum of its proper divisors (833475904).

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

505140672 is a wasteful number, since it uses less digits than its factorization.

505140672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4145 (or 4135 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 30.

The square root of 505140672 is about 22475.3347472290. The cubic root of 505140672 is about 796.4113594780.

The spelling of 505140672 in words is "five hundred five million, one hundred forty thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 787 1574 2361 3148 3343 4722 6296 6686 9444 10029 12592 13372 18888 20058 25184 26744 37776 40116 50368 53488 75552 80232 106976 151104 160464 213952 320928 641856 2630941 5261882 7892823 10523764 15785646 21047528 31571292 42095056 63142584 84190112 126285168 168380224 252570336 505140672