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48190464 = 21034783
BaseRepresentation
bin1011011111010…
…1010000000000
310100200022220000
42313311100000
544314043324
64440520000
71123416660
oct267652000
9110608800
1048190464
1125225233
1214180000
139ca388a
1465861a0
15436d9c9
hex2df5400

48190464 has 220 divisors, whose sum is σ = 166445664. Its totient is φ = 13602816.

The previous prime is 48190459. The next prime is 48190537. The reversal of 48190464 is 46409184.

It is a happy number.

48190464 is a `hidden beast` number, since 4 + 8 + 190 + 464 = 666.

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

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 19 ways as a sum of consecutive naturals, for example, 580567 + ... + 580649.

Almost surely, 248190464 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 48190464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83222832).

48190464 is an abundant number, since it is smaller than the sum of its proper divisors (118255200).

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

48190464 is an equidigital number, since it uses as much as digits as its factorization.

48190464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 48190464 is about 6941.9351768797. The cubic root of 48190464 is about 363.9041731405.

The spelling of 48190464 in words is "forty-eight million, one hundred ninety thousand, four hundred sixty-four".