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48113280 = 273258353
BaseRepresentation
bin1011011110001…
…0011010000000
310100112102000100
42313202122000
544304111110
64435122400
71122645645
oct267423200
9110472010
1048113280
1125182246
1214143400
139c776c7
146565dcc
154355bc0
hex2de2680

48113280 has 96 divisors (see below), whose sum is σ = 166161060. Its totient is φ = 12828672.

The previous prime is 48113267. The next prime is 48113293. The reversal of 48113280 is 8231184.

It is an interprime number because it is at equal distance from previous prime (48113267) and next prime (48113293).

It can be written as a sum of positive squares in 2 ways, for example, as 48108096 + 5184 = 6936^2 + 72^2 .

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

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 11 ways as a sum of consecutive naturals, for example, 1584 + ... + 9936.

Almost surely, 248113280 is an apocalyptic number.

48113280 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 48113280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83080530).

48113280 is an abundant number, since it is smaller than the sum of its proper divisors (118047780).

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

48113280 is a wasteful number, since it uses less digits than its factorization.

48113280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8378 (or 8363 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 48113280 is about 6936.3736923554. The cubic root of 48113280 is about 363.7097875978.

The spelling of 48113280 in words is "forty-eight million, one hundred thirteen thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 288 320 360 384 480 576 640 720 960 1152 1440 1920 2880 5760 8353 16706 25059 33412 41765 50118 66824 75177 83530 100236 125295 133648 150354 167060 200472 250590 267296 300708 334120 375885 400944 501180 534592 601416 668240 751770 801888 1002360 1069184 1202832 1336480 1503540 1603776 2004720 2405664 2672960 3007080 3207552 4009440 4811328 5345920 6014160 8018880 9622656 12028320 16037760 24056640 48113280