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48795264 = 273372017
BaseRepresentation
bin1011101000100…
…0111010000000
310101211001112000
42322020322000
544442422024
64501504000
71131516150
oct272107200
9111731460
1048795264
11255a8671
1214412000
13a155c4b
1466a2760
15443ccc9
hex2e88e80

48795264 has 128 divisors (see below), whose sum is σ = 164668800. Its totient is φ = 13934592.

The previous prime is 48795233. The next prime is 48795269. The reversal of 48795264 is 46259784.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48795269) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23184 + ... + 25200.

It is an arithmetic number, because the mean of its divisors is an integer number (1286475).

Almost surely, 248795264 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 48795264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82334400).

48795264 is an abundant number, since it is smaller than the sum of its proper divisors (115873536).

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

48795264 is a wasteful number, since it uses less digits than its factorization.

48795264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2047 (or 2029 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 48795264 is about 6985.3606921905. The cubic root of 48795264 is about 365.4202053640.

The spelling of 48795264 in words is "forty-eight million, seven hundred ninety-five thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 128 144 168 189 192 216 224 252 288 336 378 384 432 448 504 576 672 756 864 896 1008 1152 1344 1512 1728 2016 2017 2688 3024 3456 4032 4034 6048 6051 8064 8068 12096 12102 14119 16136 18153 24192 24204 28238 32272 36306 42357 48408 54459 56476 64544 72612 84714 96816 108918 112952 127071 129088 145224 169428 193632 217836 225904 254142 258176 290448 338856 381213 387264 435672 451808 508284 580896 677712 762426 774528 871344 903616 1016568 1161792 1355424 1524852 1742688 1807232 2033136 2323584 2710848 3049704 3485376 4066272 5421696 6099408 6970752 8132544 12198816 16265088 24397632 48795264