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48265440 = 2535193521
BaseRepresentation
bin1011100000011…
…1100011100000
310100211010201220
42320013203200
544323443230
64442255040
71124151366
oct270074340
9110733656
1048265440
11252765a3
12141b7480
139ccba42
1465a5636
154385d10
hex2e078e0

48265440 has 96 divisors (see below), whose sum is σ = 153117216. Its totient is φ = 12779520.

The previous prime is 48265439. The next prime is 48265447. The reversal of 48265440 is 4456284.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48265447) 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 15 ways as a sum of consecutive naturals, for example, 92380 + ... + 92900.

It is an arithmetic number, because the mean of its divisors is an integer number (1594971).

Almost surely, 248265440 is an apocalyptic number.

48265440 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 48265440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76558608).

48265440 is an abundant number, since it is smaller than the sum of its proper divisors (104851776).

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

48265440 is a wasteful number, since it uses less digits than its factorization.

48265440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 732 (or 724 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 33.

The square root of 48265440 is about 6947.3333013466. Note that the first 4 decimals coincide. The cubic root of 48265440 is about 364.0927992674.

The spelling of 48265440 in words is "forty-eight million, two hundred sixty-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 193 240 386 480 521 579 772 965 1042 1158 1544 1563 1930 2084 2316 2605 2895 3088 3126 3860 4168 4632 5210 5790 6176 6252 7720 7815 8336 9264 10420 11580 12504 15440 15630 16672 18528 20840 23160 25008 30880 31260 41680 46320 50016 62520 83360 92640 100553 125040 201106 250080 301659 402212 502765 603318 804424 1005530 1206636 1508295 1608848 2011060 2413272 3016590 3217696 4022120 4826544 6033180 8044240 9653088 12066360 16088480 24132720 48265440