Search a number
-
+
53562480 = 2435673331
BaseRepresentation
bin1100110001010…
…0110001110000
310201210020220120
43030110301300
5102202444410
65152010240
71220162556
oct314246160
9121706816
1053562480
1128264314
1215b30980
13b134a9a
147183bd6
154a80570
hex3314c70

53562480 has 80 divisors (see below), whose sum is σ = 168572544. Its totient is φ = 14065920.

The previous prime is 53562419. The next prime is 53562493. The reversal of 53562480 is 8426535.

It is a tau number, because it is divible by the number of its divisors (80).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 14415 + ... + 17745.

Almost surely, 253562480 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 53562480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84286272).

53562480 is an abundant number, since it is smaller than the sum of its proper divisors (115010064).

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

53562480 is a wasteful number, since it uses less digits than its factorization.

53562480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3414 (or 3408 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The square root of 53562480 is about 7318.6392177781. The cubic root of 53562480 is about 376.9527294990.

The spelling of 53562480 in words is "fifty-three million, five hundred sixty-two thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 67 80 120 134 201 240 268 335 402 536 670 804 1005 1072 1340 1608 2010 2680 3216 3331 4020 5360 6662 8040 9993 13324 16080 16655 19986 26648 33310 39972 49965 53296 66620 79944 99930 133240 159888 199860 223177 266480 399720 446354 669531 799440 892708 1115885 1339062 1785416 2231770 2678124 3347655 3570832 4463540 5356248 6695310 8927080 10712496 13390620 17854160 26781240 53562480