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1689992448 = 28341191281
BaseRepresentation
bin110010010111011…
…0011110100000000
311100210000111210220
41210232303310000
511430114224243
6435410223040
756610461454
oct14456636400
94323014726
101689992448
11797a58381
123b1b84a80
1320c184441
1412063c664
159d578783
hex64bb3d00

1689992448 has 144 divisors (see below), whose sum is σ = 4648154112. Its totient is φ = 544768000.

The previous prime is 1689992443. The next prime is 1689992467. The reversal of 1689992448 is 8442999861.

It is a junction number, because it is equal to n+sod(n) for n = 1689992391 and 1689992400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1689992443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6014068 + ... + 6014348.

It is an arithmetic number, because the mean of its divisors is an integer number (32278848).

Almost surely, 21689992448 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 1689992448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2324077056).

1689992448 is an abundant number, since it is smaller than the sum of its proper divisors (2958161664).

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

1689992448 is a wasteful number, since it uses less digits than its factorization.

1689992448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 532 (or 518 counting only the distinct ones).

The product of its digits is 8957952, while the sum is 60.

The square root of 1689992448 is about 41109.5177300829. The cubic root of 1689992448 is about 1191.1366509379.

The spelling of 1689992448 in words is "one billion, six hundred eighty-nine million, nine hundred ninety-two thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 82 96 123 128 164 191 192 246 256 281 328 382 384 492 562 573 656 764 768 843 984 1124 1146 1312 1528 1686 1968 2248 2292 2624 3056 3372 3936 4496 4584 5248 6112 6744 7831 7872 8992 9168 10496 11521 12224 13488 15662 15744 17984 18336 23042 23493 24448 26976 31324 31488 34563 35968 36672 46084 46986 48896 53671 53952 62648 69126 71936 73344 92168 93972 107342 107904 125296 138252 146688 161013 184336 187944 214684 215808 250592 276504 322026 368672 375888 429368 501184 553008 644052 737344 751776 858736 1002368 1106016 1288104 1474688 1503552 1717472 2004736 2200511 2212032 2576208 2949376 3007104 3434944 4401022 4424064 5152416 6014208 6601533 6869888 8802044 8848128 10304832 13203066 13739776 17604088 20609664 26406132 35208176 41219328 52812264 70416352 105624528 140832704 211249056 281665408 422498112 563330816 844996224 1689992448