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505751796 = 2233111972161
BaseRepresentation
bin11110001001010…
…010100011110100
31022020122212001000
4132021102203310
52013433024141
6122104003300
715350551014
oct3611224364
91266585030
10505751796
1123a5358a0
12121460530
1380a1a124
144b251c44
152e6025b6
hex1e2528f4

505751796 has 96 divisors (see below), whose sum is σ = 1438335360. Its totient is φ = 152409600.

The previous prime is 505751789. The next prime is 505751797. The reversal of 505751796 is 697157505.

It is a happy number.

505751796 is a `hidden beast` number, since 5 + 0 + 575 + 1 + 79 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505751797) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 232956 + ... + 235116.

It is an arithmetic number, because the mean of its divisors is an integer number (14982660).

Almost surely, 2505751796 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 505751796, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (719167680).

505751796 is an abundant number, since it is smaller than the sum of its proper divisors (932583564).

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

505751796 is a wasteful number, since it uses less digits than its factorization.

505751796 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2382 (or 2374 counting only the distinct ones).

The product of its (nonzero) digits is 330750, while the sum is 45.

The square root of 505751796 is about 22488.9260748485. The cubic root of 505751796 is about 796.7323987321.

The spelling of 505751796 in words is "five hundred five million, seven hundred fifty-one thousand, seven hundred ninety-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 197 198 297 394 396 591 594 788 1182 1188 1773 2161 2167 2364 3546 4322 4334 5319 6483 6501 7092 8644 8668 10638 12966 13002 19449 19503 21276 23771 25932 26004 38898 39006 47542 58347 58509 71313 77796 78012 95084 116694 117018 142626 213939 233388 234036 285252 425717 427878 641817 851434 855756 1277151 1283634 1702868 2554302 2567268 3831453 4682887 5108604 7662906 9365774 11494359 14048661 15325812 18731548 22988718 28097322 42145983 45977436 56194644 84291966 126437949 168583932 252875898 505751796