Search a number
-
+
53149500 = 22335331127
BaseRepresentation
bin1100101010111…
…1111100111100
310201000021102000
43022233330330
5102101241000
65135102300
71213522545
oct312577474
9121007360
1053149500
1128002008
1215971990
13b01bb11
1470b74cc
1549ed000
hex32aff3c

53149500 has 192 divisors, whose sum is σ = 178913280. Its totient is φ = 13608000.

The previous prime is 53149493. The next prime is 53149507. The reversal of 53149500 is 594135.

It is an interprime number because it is at equal distance from previous prime (53149493) and next prime (53149507).

It is a super-3 number, since 3×531495003 (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53149507) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 418437 + ... + 418563.

It is an arithmetic number, because the mean of its divisors is an integer number (931840).

Almost surely, 253149500 is an apocalyptic number.

53149500 is a gapful number since it is divisible by the number (50) 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 53149500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89456640).

53149500 is an abundant number, since it is smaller than the sum of its proper divisors (125763780).

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

53149500 is a wasteful number, since it uses less digits than its factorization.

53149500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 53149500 is about 7290.3703609625. The cubic root of 53149500 is about 375.9814292171.

The spelling of 53149500 in words is "fifty-three million, one hundred forty-nine thousand, five hundred".