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53809392 = 24371397127
BaseRepresentation
bin1100110101000…
…1000011110000
310202020210121110
43031101003300
5102233400032
65201153320
71222241460
oct315210360
9122223543
1053809392
112841287a
121602b840
13b1c02a0
147209ba0
154acd7cc
hex33510f0

53809392 has 160 divisors (see below), whose sum is σ = 174211072. Its totient is φ = 13934592.

The previous prime is 53809391. The next prime is 53809411. The reversal of 53809392 is 29390835.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 53809392.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53809391) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 423633 + ... + 423759.

Almost surely, 253809392 is an apocalyptic number.

53809392 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 53809392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87105536).

53809392 is an abundant number, since it is smaller than the sum of its proper divisors (120401680).

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

53809392 is a wasteful number, since it uses less digits than its factorization.

53809392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 39.

The square root of 53809392 is about 7335.4885317885. The cubic root of 53809392 is about 377.5310665484.

The spelling of 53809392 in words is "fifty-three million, eight hundred nine thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 56 78 84 91 97 104 112 127 156 168 182 194 208 254 273 291 312 336 364 381 388 508 546 582 624 679 728 762 776 889 1016 1092 1164 1261 1358 1456 1524 1552 1651 1778 2032 2037 2184 2328 2522 2667 2716 3048 3302 3556 3783 4074 4368 4656 4953 5044 5334 5432 6096 6604 7112 7566 8148 8827 9906 10088 10668 10864 11557 12319 13208 14224 15132 16296 17654 19812 20176 21336 23114 24638 26416 26481 30264 32592 34671 35308 36957 39624 42672 46228 49276 52962 60528 69342 70616 73914 79248 86233 92456 98552 105924 138684 141232 147828 160147 172466 184912 197104 211848 258699 277368 295656 320294 344932 423696 480441 517398 554736 591312 640588 689864 960882 1034796 1121029 1281176 1379728 1921764 2069592 2242058 2562352 3363087 3843528 4139184 4484116 6726174 7687056 8968232 13452348 17936464 26904696 53809392