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48106496 = 210109431
BaseRepresentation
bin1011011110000…
…0110000000000
310100112001201002
42313200300000
544303401441
64435031132
71122620114
oct267406000
9110461632
1048106496
1125178139
121413b4a8
139c745a9
146563744
154353b9b
hex2de0c00

48106496 has 44 divisors (see below), whose sum is σ = 97273440. Its totient is φ = 23777280.

The previous prime is 48106483. The next prime is 48106507. The reversal of 48106496 is 69460184.

It is a super-3 number, since 3×481064963 (a number of 24 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 111401 + ... + 111831.

It is an arithmetic number, because the mean of its divisors is an integer number (2210760).

Almost surely, 248106496 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 48106496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48636720).

48106496 is an abundant number, since it is smaller than the sum of its proper divisors (49166944).

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

48106496 is a wasteful number, since it uses less digits than its factorization.

48106496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560 (or 542 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 38.

The square root of 48106496 is about 6935.8846587872. The cubic root of 48106496 is about 363.6926923649.

The spelling of 48106496 in words is "forty-eight million, one hundred six thousand, four hundred ninety-six".

Divisors: 1 2 4 8 16 32 64 109 128 218 256 431 436 512 862 872 1024 1724 1744 3448 3488 6896 6976 13792 13952 27584 27904 46979 55168 55808 93958 110336 111616 187916 220672 375832 441344 751664 1503328 3006656 6013312 12026624 24053248 48106496