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48383776 = 257259523
BaseRepresentation
bin1011100010010…
…0011100100000
310101001011001201
42320210130200
544341240101
64445010544
71125153400
oct270443440
9111034051
1048383776
11253474a1
1214253a54
13a04086c
1465d6800
1543aae01
hex2e24720

48383776 has 72 divisors (see below), whose sum is σ = 112901040. Its totient is φ = 20345472.

The previous prime is 48383773. The next prime is 48383801. The reversal of 48383776 is 67738384.

It is not an unprimeable number, because it can be changed into a prime (48383773) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 92251 + ... + 92773.

It is an arithmetic number, because the mean of its divisors is an integer number (1568070).

Almost surely, 248383776 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48383776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56450520).

48383776 is an abundant number, since it is smaller than the sum of its proper divisors (64517264).

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

48383776 is a wasteful number, since it uses less digits than its factorization.

48383776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 606 (or 591 counting only the distinct ones).

The product of its digits is 677376, while the sum is 46.

The square root of 48383776 is about 6955.8447366226. The cubic root of 48383776 is about 364.3901142929.

The spelling of 48383776 in words is "forty-eight million, three hundred eighty-three thousand, seven hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 59 98 112 118 196 224 236 392 413 472 523 784 826 944 1046 1568 1652 1888 2092 2891 3304 3661 4184 5782 6608 7322 8368 11564 13216 14644 16736 23128 25627 29288 30857 46256 51254 58576 61714 92512 102508 117152 123428 205016 215999 246856 410032 431998 493712 820064 863996 987424 1511993 1727992 3023986 3455984 6047972 6911968 12095944 24191888 48383776