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1689949056 = 27317833119
BaseRepresentation
bin110010010111010…
…1001001110000000
311100202221022021210
41210232221032000
511430111332211
6435405250120
756610221115
oct14456511600
94322838253
101689949056
11797a28814
123b1b63940
1320c16a773
1412062a90c
159d56a9a6
hex64ba9380

1689949056 has 128 divisors (see below), whose sum is σ = 4811788800. Its totient is φ = 523624448.

The previous prime is 1689949049. The next prime is 1689949057. The reversal of 1689949056 is 6509499861.

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

It is a super-2 number, since 2×16899490562 = 5711855623750582272, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1689948987 and 1689949005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1689949057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 540265 + ... + 543383.

It is an arithmetic number, because the mean of its divisors is an integer number (37592100).

Almost surely, 21689949056 is an apocalyptic number.

1689949056 is a gapful number since it is divisible by the number (16) 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 1689949056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2405894400).

1689949056 is an abundant number, since it is smaller than the sum of its proper divisors (3121839744).

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

1689949056 is a wasteful number, since it uses less digits than its factorization.

1689949056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3236 (or 3224 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 57.

The square root of 1689949056 is about 41108.9899656997. The cubic root of 1689949056 is about 1191.1264563669.

The spelling of 1689949056 in words is "one billion, six hundred eighty-nine million, nine hundred forty-nine thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 83 96 102 128 136 166 192 204 249 272 332 384 408 498 544 664 816 996 1088 1328 1411 1632 1992 2176 2656 2822 3119 3264 3984 4233 5312 5644 6238 6528 7968 8466 9357 10624 11288 12476 15936 16932 18714 22576 24952 31872 33864 37428 45152 49904 53023 67728 74856 90304 99808 106046 135456 149712 159069 180608 199616 212092 258877 270912 299424 318138 399232 424184 517754 541824 598848 636276 776631 848368 1035508 1197696 1272552 1553262 1696736 2071016 2545104 3106524 3393472 4142032 4400909 5090208 6213048 6786944 8284064 8801818 10180416 12426096 13202727 16568128 17603636 20360832 24852192 26405454 33136256 35207272 49704384 52810908 70414544 99408768 105621816 140829088 211243632 281658176 422487264 563316352 844974528 1689949056