Search a number
-
+
545125440 = 263537103149
BaseRepresentation
bin100000011111011…
…111010001000000
31101222202020112010
4200133133101000
52104023003230
6130031532520
716336326666
oct4037372100
91358666463
10545125440
1125a7888a2
1213268a140
1388c24842
1452580c36
1532ccd9b0
hex207df440

545125440 has 224 divisors, whose sum is σ = 1806854400. Its totient is φ = 139124736.

The previous prime is 545125423. The next prime is 545125457. The reversal of 545125440 is 44521545.

It is an interprime number because it is at equal distance from previous prime (545125423) and next prime (545125457).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 545125398 and 545125407.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3658486 + ... + 3658634.

Almost surely, 2545125440 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 545125440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (903427200).

545125440 is an abundant number, since it is smaller than the sum of its proper divisors (1261728960).

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

545125440 is a wasteful number, since it uses less digits than its factorization.

545125440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 30.

The square root of 545125440 is about 23347.9215349033. The cubic root of 545125440 is about 816.8935808898.

Adding to 545125440 its reverse (44521545), we get a palindrome (589646985).

The spelling of 545125440 in words is "five hundred forty-five million, one hundred twenty-five thousand, four hundred forty".