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2039869744 = 241129795059
BaseRepresentation
bin111100110010101…
…1111000100110000
312021011101010020021
41321211133010300
513134201312434
6534225253224
7101356415053
oct17145370460
95234333207
102039869744
119574a9370
1248b194214
132667c6823
14154cb6a9a
15be13acb4
hex7995f130

2039869744 has 80 divisors (see below), whose sum is σ = 4517568000. Its totient is φ = 883733760.

The previous prime is 2039869723. The next prime is 2039869753. The reversal of 2039869744 is 4479689302.

It is a happy number.

It is a super-2 number, since 2×20398697442 = 8322137144973251072, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2039869691 and 2039869700.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 400687 + ... + 405745.

It is an arithmetic number, because the mean of its divisors is an integer number (56469600).

Almost surely, 22039869744 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 2039869744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2258784000).

2039869744 is an abundant number, since it is smaller than the sum of its proper divisors (2477698256).

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

2039869744 is a wasteful number, since it uses less digits than its factorization.

2039869744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5186 (or 5180 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 52.

The square root of 2039869744 is about 45164.9171813699. The cubic root of 2039869744 is about 1268.2381471782.

The spelling of 2039869744 in words is "two billion, thirty-nine million, eight hundred sixty-nine thousand, seven hundred forty-four".

Divisors: 1 2 4 8 11 16 22 29 44 58 79 88 116 158 176 232 316 319 464 632 638 869 1264 1276 1738 2291 2552 3476 4582 5059 5104 6952 9164 10118 13904 18328 20236 25201 36656 40472 50402 55649 80944 100804 111298 146711 201608 222596 293422 399661 403216 445192 586844 799322 890384 1173688 1598644 1613821 2347376 3197288 3227642 4396271 6394576 6455284 8792542 11590169 12910568 17585084 23180338 25821136 35170168 46360676 70340336 92721352 127491859 185442704 254983718 509967436 1019934872 2039869744