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48046640 = 2451274729
BaseRepresentation
bin1011011101001…
…0001000110000
310100102000121012
42313102020300
544244443030
64433450052
71122250445
oct267221060
9110360535
1048046640
1125137174
1214110928
139c53285
1465499cc
154341095
hex2dd2230

48046640 has 40 divisors (see below), whose sum is σ = 112611840. Its totient is φ = 19063296.

The previous prime is 48046637. The next prime is 48046651. The reversal of 48046640 is 4664084.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 48046597 and 48046606.

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 7 ways as a sum of consecutive naturals, for example, 7796 + ... + 12524.

It is an arithmetic number, because the mean of its divisors is an integer number (2815296).

Almost surely, 248046640 is an apocalyptic number.

48046640 is a gapful number since it is divisible by the number (40) 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 48046640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56305920).

48046640 is an abundant number, since it is smaller than the sum of its proper divisors (64565200).

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

48046640 is a wasteful number, since it uses less digits than its factorization.

48046640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4869 (or 4863 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

The square root of 48046640 is about 6931.5683650960. The cubic root of 48046640 is about 363.5417894963.

The spelling of 48046640 in words is "forty-eight million, forty-six thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 127 254 508 635 1016 1270 2032 2540 4729 5080 9458 10160 18916 23645 37832 47290 75664 94580 189160 378320 600583 1201166 2402332 3002915 4804664 6005830 9609328 12011660 24023320 48046640