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48427280 = 24511113487
BaseRepresentation
bin1011100010111…
…1000100010000
310101010100201222
42320233010100
544344133110
64445544212
71125424256
oct270570420
9111110658
1048427280
1125377150
1214275068
13a0575c5
1466085d6
1543b8c55
hex2e2f110

48427280 has 80 divisors (see below), whose sum is σ = 124170624. Its totient is φ = 17418240.

The previous prime is 48427277. The next prime is 48427307. The reversal of 48427280 is 8272484.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 48427280.

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 15 ways as a sum of consecutive naturals, for example, 99197 + ... + 99683.

Almost surely, 248427280 is an apocalyptic number.

48427280 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 48427280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62085312).

48427280 is an abundant number, since it is smaller than the sum of its proper divisors (75743344).

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

48427280 is a wasteful number, since it uses less digits than its factorization.

48427280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 624 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 35.

The square root of 48427280 is about 6958.9711883295. The cubic root of 48427280 is about 364.4992946836.

The spelling of 48427280 in words is "forty-eight million, four hundred twenty-seven thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 113 176 220 226 440 452 487 565 880 904 974 1130 1243 1808 1948 2260 2435 2486 3896 4520 4870 4972 5357 6215 7792 9040 9740 9944 10714 12430 19480 19888 21428 24860 26785 38960 42856 49720 53570 55031 85712 99440 107140 110062 214280 220124 275155 428560 440248 550310 605341 880496 1100620 1210682 2201240 2421364 3026705 4402480 4842728 6053410 9685456 12106820 24213640 48427280