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48528050976 = 25321178914293
BaseRepresentation
bin101101001100011111…
…110100101100100000
311122021000002102011100
4231030133310230200
51243341140112401
634143220314400
73335366425116
oct551437645440
9148230072140
1048528050976
1119642901a59
1294a3b42a00
134764b1c582
1424c504dab6
1513e053bb86
hexb4c7f4b20

48528050976 has 72 divisors (see below), whose sum is σ = 138023006940. Its totient is φ = 16173513216.

The previous prime is 48528050951. The next prime is 48528050983. The reversal of 48528050976 is 67905082584.

48528050976 is a `hidden beast` number, since 4 + 8 + 52 + 80 + 509 + 7 + 6 = 666.

48528050976 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 29764530576 + 18763520400 = 172524^2 + 136980^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3388086 + ... + 3402378.

Almost surely, 248528050976 is an apocalyptic number.

It is an amenable number.

48528050976 is an abundant number, since it is smaller than the sum of its proper divisors (89494955964).

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

48528050976 is a wasteful number, since it uses less digits than its factorization.

48528050976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26098 (or 26087 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 48528050976 in words is "forty-eight billion, five hundred twenty-eight million, fifty thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 11789 14293 23578 28586 35367 42879 47156 57172 70734 85758 94312 106101 114344 128637 141468 171516 188624 212202 228688 257274 282936 343032 377248 424404 457376 514548 565872 686064 848808 1029096 1131744 1372128 1697616 2058192 3395232 4116384 168500177 337000354 505500531 674000708 1011001062 1348001416 1516501593 2022002124 2696002832 3033003186 4044004248 5392005664 6066006372 8088008496 12132012744 16176016992 24264025488 48528050976