48106575 has 144 divisors (see below), whose sum is σ = 105548800. Its totient is φ = 21384000.

The previous prime is 48106573. The next prime is 48106579. The reversal of 48106575 is 57560184.

48106575 = 66³ + 67³ + ... + 120³.

48106575 is a `hidden beast` number, since 4 + 81 + 0 + 6 + 575 = 666.

It is not a de Polignac number, because 48106575 - 2¹ = 48106573 is a prime.

It is a super-3 number, since 3×48106575³ (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48106573) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1551810 + ... + 1551840.

Almost surely, 2^48106575 is an apocalyptic number.

48106575 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

48106575 is an abundant number, since it is smaller than the sum of its proper divisors (57442225).

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

48106575 is a wasteful number, since it uses less digits than its factorization.

48106575 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 48106575 is about 6935.8903538046. The cubic root of 48106575 is about 363.6928914490.

The spelling of 48106575 in words is "forty-eight million, one hundred six thousand, five hundred seventy-five".