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48100031 = 7107149431
BaseRepresentation
bin1011011101111…
…1001010111111
310100111201211122
42313133022333
544303200111
64434541155
71122562220
oct267371277
9110451748
1048100031
11251732a1
12141377bb
139c71675
146561247
154351cdb
hex2ddf2bf

48100031 has 16 divisors (see below), whose sum is σ = 55987200. Its totient is φ = 40475040.

The previous prime is 48100007. The next prime is 48100033. The reversal of 48100031 is 13000184.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 48100031 - 26 = 48099967 is a prime.

It is a super-3 number, since 3×481000313 (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 48099982 and 48100009.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48100033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 111386 + ... + 111816.

It is an arithmetic number, because the mean of its divisors is an integer number (3499200).

Almost surely, 248100031 is an apocalyptic number.

48100031 is a deficient number, since it is larger than the sum of its proper divisors (7887169).

48100031 is a wasteful number, since it uses less digits than its factorization.

48100031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 694.

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 48100031 is about 6935.4185886650. The cubic root of 48100031 is about 363.6763994954.

The spelling of 48100031 in words is "forty-eight million, one hundred thousand, thirty-one".

Divisors: 1 7 107 149 431 749 1043 3017 15943 46117 64219 111601 322819 449533 6871433 48100031