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5048960 = 2757323
BaseRepresentation
bin10011010000101010000000
3100111111212112
4103100222000
52243031320
6300114452
760626000
oct23205200
910444775
105048960
1129393a4
121835a28
13107a167
14956000
1569aec5
hex4d0a80

5048960 has 128 divisors (see below), whose sum is σ = 14688000. Its totient is φ = 1655808.

The previous prime is 5048951. The next prime is 5048977. The reversal of 5048960 is 698405.

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

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 219509 + ... + 219531.

It is an arithmetic number, because the mean of its divisors is an integer number (114750).

Almost surely, 25048960 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 5048960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7344000).

5048960 is an abundant number, since it is smaller than the sum of its proper divisors (9639040).

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

5048960 is an equidigital number, since it uses as much as digits as its factorization.

5048960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 32.

The square root of 5048960 is about 2246.9890965468. The cubic root of 5048960 is about 171.5539189064.

The spelling of 5048960 in words is "five million, forty-eight thousand, nine hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 23 28 32 35 40 46 49 56 64 70 80 92 98 112 115 128 140 160 161 184 196 224 230 245 280 320 322 343 368 392 448 460 490 560 640 644 686 736 784 805 896 920 980 1120 1127 1288 1372 1472 1568 1610 1715 1840 1960 2240 2254 2576 2744 2944 3136 3220 3430 3680 3920 4480 4508 5152 5488 5635 6272 6440 6860 7360 7840 7889 9016 10304 10976 11270 12880 13720 14720 15680 15778 18032 20608 21952 22540 25760 27440 31360 31556 36064 39445 43904 45080 51520 54880 63112 72128 78890 90160 103040 109760 126224 144256 157780 180320 219520 252448 315560 360640 504896 631120 721280 1009792 1262240 2524480 5048960