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48569664 = 26311132961
BaseRepresentation
bin1011100101000…
…1110101000000
310101101121001110
42321101311000
544413212124
64453003320
71126556343
oct271216500
9111347043
1048569664
1125464120
1214323540
13a0a7360
14664445a
1543e6029
hex2e51d40

48569664 has 224 divisors, whose sum is σ = 158739840. Its totient is φ = 12902400.

The previous prime is 48569657. The next prime is 48569669. The reversal of 48569664 is 46696584.

48569664 = T25 + T26 + ... + T662.

It is a happy number.

It is a super-2 number, since 2×485696642 = 4718024522145792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48569669) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 796194 + ... + 796254.

It is an arithmetic number, because the mean of its divisors is an integer number (708660).

Almost surely, 248569664 is an apocalyptic number.

48569664 is a gapful number since it is divisible by the number (44) 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 48569664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79369920).

48569664 is an abundant number, since it is smaller than the sum of its proper divisors (110170176).

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

48569664 is a wasteful number, since it uses less digits than its factorization.

48569664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 119 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 48.

The square root of 48569664 is about 6969.1939275644. The cubic root of 48569664 is about 364.8561740211.

Subtracting from 48569664 its reverse (46696584), we obtain a triangular number (1873080 = T1935).

The spelling of 48569664 in words is "forty-eight million, five hundred sixty-nine thousand, six hundred sixty-four".