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5436875520 = 28345411279
BaseRepresentation
bin1010001000001000…
…00010001100000000
3112000220102220010000
411010010002030000
542113320004040
62255255040000
7251505452016
oct50404021400
915026386100
105436875520
11233aa7a05a
121078970000
1368851180b
143981048b6
1521c4a1130
hex144102300

5436875520 has 360 divisors, whose sum is σ = 19944207360. Its totient is φ = 1413365760.

The previous prime is 5436875513. The next prime is 5436875537. The reversal of 5436875520 is 255786345.

5436875520 is a `hidden beast` number, since 5 + 43 + 6 + 87 + 5 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4250241 + ... + 4251519.

It is an arithmetic number, because the mean of its divisors is an integer number (55400576).

Almost surely, 25436875520 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 5436875520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9972103680).

5436875520 is an abundant number, since it is smaller than the sum of its proper divisors (14507331840).

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

5436875520 is a wasteful number, since it uses less digits than its factorization.

5436875520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1353 (or 1330 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

The square root of 5436875520 is about 73735.1715262126. The cubic root of 5436875520 is about 1758.3950934385.

The spelling of 5436875520 in words is "five billion, four hundred thirty-six million, eight hundred seventy-five thousand, five hundred twenty".