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5412172800 = 210352193709
BaseRepresentation
bin1010000101001011…
…10011010000000000
3111222011221212100110
411002211303100000
542041004012200
62253013351320
7251055465306
oct50245632000
914864855313
105412172800
112328037591
121070638540
13683372a18
14394b14276
1521a221b50
hex142973400

5412172800 has 264 divisors, whose sum is σ = 18834037600. Its totient is φ = 1366917120.

The previous prime is 5412172771. The next prime is 5412172823. The reversal of 5412172800 is 82712145.

It is a super-2 number, since 2×54121728002 = 58583228834119680000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1457346 + ... + 1461054.

Almost surely, 25412172800 is an apocalyptic number.

5412172800 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 5412172800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9417018800).

5412172800 is an abundant number, since it is smaller than the sum of its proper divisors (13421864800).

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

5412172800 is a wasteful number, since it uses less digits than its factorization.

5412172800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3761 (or 3738 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 30.

The square root of 5412172800 is about 73567.4710724788. The cubic root of 5412172800 is about 1755.7279307559.

Adding to 5412172800 its reverse (82712145), we get a palindrome (5494884945).

The spelling of 5412172800 in words is "five billion, four hundred twelve million, one hundred seventy-two thousand, eight hundred".