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4948008507 = 3213292835153
BaseRepresentation
bin1001001101110110…
…01001111000111011
3110202211112212122100
410212323021320323
540113142233012
62134552554443
7233421243531
oct44673117073
913684485570
104948008507
11210a027032
12b610b2a23
1360b156bb0
1434d20a151
151de5d68dc
hex126ec9e3b

4948008507 has 48 divisors (see below), whose sum is σ = 7991998560. Its totient is φ = 2928973824.

The previous prime is 4948008497. The next prime is 4948008511. The reversal of 4948008507 is 7058008494.

4948008507 is a `hidden beast` number, since 494 + 80 + 0 + 85 + 0 + 7 = 666.

It is not a de Polignac number, because 4948008507 - 28 = 4948008251 is a prime.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (4948008577) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 957643 + ... + 962795.

It is an arithmetic number, because the mean of its divisors is an integer number (166499970).

Almost surely, 24948008507 is an apocalyptic number.

4948008507 is a deficient number, since it is larger than the sum of its proper divisors (3043990053).

4948008507 is a wasteful number, since it uses less digits than its factorization.

4948008507 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5484 (or 5481 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 4948008507 is about 70342.0820490835. The cubic root of 4948008507 is about 1704.0283369535.

The spelling of 4948008507 in words is "four billion, nine hundred forty-eight million, eight thousand, five hundred seven".

Divisors: 1 3 9 13 29 39 87 117 261 283 377 849 1131 2547 3393 3679 5153 8207 11037 15459 24621 33111 46377 66989 73863 106691 149437 200967 320073 448311 602901 960219 1344933 1458299 1942681 4374897 5828043 13124691 17484129 18957887 42290671 56873661 126872013 170620983 380616039 549778723 1649336169 4948008507