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2047517248 = 267371011223
BaseRepresentation
bin111101000001010…
…1010001001000000
312021200202122122011
41322002222021000
513143131022443
6535101222304
7101511416020
oct17202521100
95250678564
102047517248
11960852017
12491861994
1326827368a
14155d07a80
15beb4bb9d
hex7a0aa240

2047517248 has 112 divisors (see below), whose sum is σ = 4820131584. Its totient is φ = 844646400.

The previous prime is 2047517237. The next prime is 2047517249. The reversal of 2047517248 is 8427157402.

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 2047517248.

It is not an unprimeable number, because it can be changed into a prime (2047517249) by changing a digit.

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, 1673565 + ... + 1674787.

Almost surely, 22047517248 is an apocalyptic number.

2047517248 is a gapful number since it is divisible by the number (28) 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 2047517248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2410065792).

2047517248 is an abundant number, since it is smaller than the sum of its proper divisors (2772614336).

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

2047517248 is a wasteful number, since it uses less digits than its factorization.

2047517248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1380 (or 1370 counting only the distinct ones).

The product of its (nonzero) digits is 125440, while the sum is 40.

The square root of 2047517248 is about 45249.4999751378. The cubic root of 2047517248 is about 1269.8210523490.

The spelling of 2047517248 in words is "two billion, forty-seven million, five hundred seventeen thousand, two hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 37 56 64 74 101 112 148 202 224 259 296 404 448 518 592 707 808 1036 1184 1223 1414 1616 2072 2368 2446 2828 3232 3737 4144 4892 5656 6464 7474 8288 8561 9784 11312 14948 16576 17122 19568 22624 26159 29896 34244 39136 45248 45251 52318 59792 68488 78272 90502 104636 119584 123523 136976 181004 209272 239168 247046 273952 316757 362008 418544 494092 547904 633514 724016 837088 864661 988184 1267028 1448032 1674176 1729322 1976368 2534056 2896064 3458644 3952736 4570351 5068112 6917288 7905472 9140702 10136224 13834576 18281404 20272448 27669152 31992457 36562808 55338304 63984914 73125616 127969828 146251232 255939656 292502464 511879312 1023758624 2047517248