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4545325440 = 273252927211
BaseRepresentation
bin1000011101110110…
…00010100110000000
3102201202211110022200
410032323002212000
533302100403230
62031010033200
7220431425445
oct41673024600
912652743280
104545325440
111a22799307
12a6a278800
135758b62a6
143119479cc
151b9093160
hex10eec2980

4545325440 has 192 divisors, whose sum is σ = 16237400400. Its totient is φ = 1170247680.

The previous prime is 4545325429. The next prime is 4545325459. The reversal of 4545325440 is 445235454.

4545325440 is a `hidden beast` number, since 45 + 45 + 32 + 544 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×45453254402 = 41319966711022387200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4545325395 and 4545325404.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 153435 + ... + 180645.

Almost surely, 24545325440 is an apocalyptic number.

4545325440 is a gapful number since it is divisible by the number (40) 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 4545325440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8118700200).

4545325440 is an abundant number, since it is smaller than the sum of its proper divisors (11692074960).

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

4545325440 is a wasteful number, since it uses less digits than its factorization.

4545325440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27265 (or 27250 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 36.

The square root of 4545325440 is about 67419.0287678486. The cubic root of 4545325440 is about 1656.4881288750.

The spelling of 4545325440 in words is "four billion, five hundred forty-five million, three hundred twenty-five thousand, four hundred forty".