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1689072944 = 2413171931811
BaseRepresentation
bin110010010101101…
…0011010100110000
311100201021210111012
41210223103110300
511424400313234
6435334410052
756566611626
oct14453232460
94321253435
101689072944
1179748a559
123b1800928
1320bc21a60
1412047d516
159d4460ce
hex64ad3530

1689072944 has 160 divisors (see below), whose sum is σ = 4059740160. Its totient is φ = 671846400.

The previous prime is 1689072929. The next prime is 1689072947. The reversal of 1689072944 is 4492709861.

It is a junction number, because it is equal to n+sod(n) for n = 1689072892 and 1689072901.

It is not an unprimeable number, because it can be changed into a prime (1689072947) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2082299 + ... + 2083109.

It is an arithmetic number, because the mean of its divisors is an integer number (25373376).

Almost surely, 21689072944 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 1689072944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2029870080).

1689072944 is an abundant number, since it is smaller than the sum of its proper divisors (2370667216).

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

1689072944 is a wasteful number, since it uses less digits than its factorization.

1689072944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 899 (or 893 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 50.

The square root of 1689072944 is about 41098.3326182462. The cubic root of 1689072944 is about 1190.9205841709.

The spelling of 1689072944 in words is "one billion, six hundred eighty-nine million, seventy-two thousand, nine hundred forty-four".

Divisors: 1 2 4 8 13 16 17 19 26 31 34 38 52 62 68 76 104 124 136 152 208 221 247 248 272 304 323 403 442 494 496 527 589 646 806 811 884 988 1054 1178 1292 1612 1622 1768 1976 2108 2356 2584 3224 3244 3536 3952 4199 4216 4712 5168 6448 6488 6851 7657 8398 8432 9424 10013 10543 12976 13702 13787 15314 15409 16796 20026 21086 25141 27404 27574 30628 30818 33592 40052 42172 50282 54808 55148 61256 61636 67184 80104 84344 100564 109616 110296 122512 123272 130169 160208 168688 179231 200317 201128 220592 246544 260338 261953 326833 358462 400634 402256 427397 477679 520676 523906 653666 716924 801268 854794 955358 1041352 1047812 1307332 1433848 1602536 1709588 1910716 2082704 2095624 2614664 2867696 3205072 3405389 3419176 3821432 4191248 5229328 5556161 6209827 6810778 6838352 7642864 8120543 11112322 12419654 13621556 16241086 22224644 24839308 27243112 32482172 44449288 49678616 54486224 64964344 88898576 99357232 105567059 129928688 211134118 422268236 844536472 1689072944