Search a number
-
+
53562096 = 2432727591
BaseRepresentation
bin1100110001010…
…0101011110000
310201210020101100
43030110223300
5102202441341
65152004400
71220161500
oct314245360
9121706340
1053562096
1128263aa5
1215b30700
13b134863
147183a00
154a803b6
hex3314af0

53562096 has 90 divisors (see below), whose sum is σ = 174395832. Its totient is φ = 15301440.

The previous prime is 53562059. The next prime is 53562097. The reversal of 53562096 is 69026535.

53562096 is a `hidden beast` number, since 5 + 3 + 562 + 0 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 53562096.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53562097) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3261 + ... + 10851.

Almost surely, 253562096 is an apocalyptic number.

53562096 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 53562096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87197916).

53562096 is an abundant number, since it is smaller than the sum of its proper divisors (120833736).

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

53562096 is a wasteful number, since it uses less digits than its factorization.

53562096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7619 (or 7603 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The square root of 53562096 is about 7318.6129833460. The cubic root of 53562096 is about 376.9518286806.

The spelling of 53562096 in words is "fifty-three million, five hundred sixty-two thousand, ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 49 56 63 72 84 98 112 126 144 147 168 196 252 294 336 392 441 504 588 784 882 1008 1176 1764 2352 3528 7056 7591 15182 22773 30364 45546 53137 60728 68319 91092 106274 121456 136638 159411 182184 212548 273276 318822 364368 371959 425096 478233 546552 637644 743918 850192 956466 1093104 1115877 1275288 1487836 1912932 2231754 2550576 2975672 3347631 3825864 4463508 5951344 6695262 7651728 8927016 13390524 17854032 26781048 53562096