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248025792 = 2637315953
BaseRepresentation
bin11101100100010…
…01001011000000
3122021201000102110
432302021023000
51001443311132
640340015320
76101120160
oct1662111300
9567630373
10248025792
111180054a3
126b091540
133c500c31
1424d245a0
1516b941cc
hexec892c0

248025792 has 112 divisors (see below), whose sum is σ = 774305792. Its totient is φ = 68567040.

The previous prime is 248025773. The next prime is 248025803. The reversal of 248025792 is 297520842.

It is a tau number, because it is divible by the number of its divisors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 248025792.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38688 + ... + 44640.

Almost surely, 2248025792 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 248025792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387152896).

248025792 is an abundant number, since it is smaller than the sum of its proper divisors (526280000).

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

248025792 is a wasteful number, since it uses less digits than its factorization.

248025792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6006 (or 5996 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 248025792 is about 15748.8346235523. The cubic root of 248025792 is about 628.2979099625.

The spelling of 248025792 in words is "two hundred forty-eight million, twenty-five thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 32 42 48 56 62 64 84 93 96 112 124 168 186 192 217 224 248 336 372 434 448 496 651 672 744 868 992 1302 1344 1488 1736 1984 2604 2976 3472 5208 5952 5953 6944 10416 11906 13888 17859 20832 23812 35718 41664 41671 47624 71436 83342 95248 125013 142872 166684 184543 190496 250026 285744 333368 369086 380992 500052 553629 571488 666736 738172 1000104 1107258 1142976 1291801 1333472 1476344 2000208 2214516 2583602 2666944 2952688 3875403 4000416 4429032 5167204 5905376 7750806 8000832 8858064 10334408 11810752 15501612 17716128 20668816 31003224 35432256 41337632 62006448 82675264 124012896 248025792