Search a number
-
+
53078532 = 22313893823
BaseRepresentation
bin1100101001111…
…0101000000100
310200212200001120
43022132220010
5102042003112
65133353540
71213105623
oct312365004
9120780046
1053078532
1127a63761
12159388b0
13acc5720
1470996ba
1549d6e8c
hex329ea04

53078532 has 48 divisors (see below), whose sum is σ = 134910720. Its totient is φ = 16144128.

The previous prime is 53078521. The next prime is 53078537. The reversal of 53078532 is 23587035.

It is a junction number, because it is equal to n+sod(n) for n = 53078493 and 53078502.

It is not an unprimeable number, because it can be changed into a prime (53078537) 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 15 ways as a sum of consecutive naturals, for example, 11973 + ... + 15795.

It is an arithmetic number, because the mean of its divisors is an integer number (2810640).

Almost surely, 253078532 is an apocalyptic number.

53078532 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 53078532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67455360).

53078532 is an abundant number, since it is smaller than the sum of its proper divisors (81832188).

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

53078532 is a wasteful number, since it uses less digits than its factorization.

53078532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3932 (or 3930 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 33.

The square root of 53078532 is about 7285.5014926908. The cubic root of 53078532 is about 375.8140113053.

The spelling of 53078532 in words is "fifty-three million, seventy-eight thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 89 156 178 267 356 534 1068 1157 2314 3471 3823 4628 6942 7646 11469 13884 15292 22938 45876 49699 99398 149097 198796 298194 340247 596388 680494 1020741 1360988 2041482 4082964 4423211 8846422 13269633 17692844 26539266 53078532