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48053036928 = 2731317775417
BaseRepresentation
bin101100110000001011…
…110010011110000000
311121000220021012101110
4230300023302132000
51241403034140203
634024131203320
73320541034401
oct546013623600
9147026235343
1048053036928
1119419760966
129390a46540
1346ba5a5180
14247bd1d9a8
1513b39abd03
hexb302f2780

48053036928 has 128 divisors (see below), whose sum is σ = 137562153120. Its totient is φ = 14774501376.

The previous prime is 48053036923. The next prime is 48053036929. The reversal of 48053036928 is 82963035084.

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

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48053036923) 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, 8868076 + ... + 8873492.

Almost surely, 248053036928 is an apocalyptic number.

48053036928 is a gapful number since it is divisible by the number (48) 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 48053036928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68781076560).

48053036928 is an abundant number, since it is smaller than the sum of its proper divisors (89509116192).

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

48053036928 is a wasteful number, since it uses less digits than its factorization.

48053036928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7224 (or 7212 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 48.

The spelling of 48053036928 in words is "forty-eight billion, fifty-three million, thirty-six thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 312 384 416 624 832 1248 1664 1777 2496 3554 4992 5331 5417 7108 10662 10834 14216 16251 21324 21668 23101 28432 32502 42648 43336 46202 56864 65004 69303 70421 85296 86672 92404 113728 130008 138606 140842 170592 173344 184808 211263 227456 260016 277212 281684 341184 346688 369616 422526 520032 554424 563368 682368 693376 739232 845052 1040064 1108848 1126736 1478464 1690104 2080128 2217696 2253472 2956928 3380208 4435392 4506944 6760416 8870784 9013888 9626009 13520832 19252018 27041664 28878027 38504036 57756054 77008072 115512108 125138117 154016144 231024216 250276234 308032288 375414351 462048432 500552468 616064576 750828702 924096864 1001104936 1232129152 1501657404 1848193728 2002209872 3003314808 3696387456 4004419744 6006629616 8008839488 12013259232 16017678976 24026518464 48053036928