Search a number
-
+
53602080 = 2535724353
BaseRepresentation
bin1100110001111…
…0011100100000
310201212021020020
43030132130200
5102210231310
65152513440
71220416200
oct314363440
9121767206
1053602080
1128291044
1215b4b880
13b149b0c
147194400
154a8c170
hex331e720

53602080 has 288 divisors, whose sum is σ = 204773184. Its totient is φ = 11741184.

The previous prime is 53602079. The next prime is 53602093. The reversal of 53602080 is 8020635.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 53602080.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1011334 + ... + 1011386.

It is an arithmetic number, because the mean of its divisors is an integer number (711018).

Almost surely, 253602080 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 53602080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102386592).

53602080 is an abundant number, since it is smaller than the sum of its proper divisors (151171104).

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

53602080 is a wasteful number, since it uses less digits than its factorization.

53602080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 53602080 is about 7321.3441388860. The cubic root of 53602080 is about 377.0456032848.

The spelling of 53602080 in words is "fifty-three million, six hundred two thousand, eighty".