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35493444 = 22337219353
BaseRepresentation
bin1000011101100…
…1011001000100
32110210020212000
42013121121010
533041242234
63304425300
7610455300
oct207313104
973706760
1035493444
1119042828
12ba78230
13747954c
1449dcd00
1531b1899
hex21d9644

35493444 has 144 divisors (see below), whose sum is σ = 112996800. Its totient is φ = 9580032.

The previous prime is 35493427. The next prime is 35493457. The reversal of 35493444 is 44439453.

It is a happy number.

It is a super-2 number, since 2×354934442 = 2519569133962272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (103680) is a multiple of the sum of its prime divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 35493399 and 35493408.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 100372 + ... + 100724.

It is an arithmetic number, because the mean of its divisors is an integer number (784700).

Almost surely, 235493444 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 35493444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56498400).

35493444 is an abundant number, since it is smaller than the sum of its proper divisors (77503356).

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

35493444 is a wasteful number, since it uses less digits than its factorization.

35493444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399 (or 384 counting only the distinct ones).

The product of its digits is 103680, while the sum is 36.

The square root of 35493444 is about 5957.6374512050. The cubic root of 35493444 is about 328.6366896384.

It can be divided in two parts, 35493 and 444, that added together give a cube (35937 = 333).

The spelling of 35493444 in words is "thirty-five million, four hundred ninety-three thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 27 28 36 38 42 49 54 57 63 76 84 98 108 114 126 133 147 171 189 196 228 252 266 294 342 353 378 399 441 513 532 588 684 706 756 798 882 931 1026 1059 1197 1323 1412 1596 1764 1862 2052 2118 2394 2471 2646 2793 3177 3591 3724 4236 4788 4942 5292 5586 6354 6707 7182 7413 8379 9531 9884 11172 12708 13414 14364 14826 16758 17297 19062 20121 22239 25137 26828 29652 33516 34594 38124 40242 44478 46949 50274 51891 60363 66717 69188 80484 88956 93898 100548 103782 120726 133434 140847 155673 181089 187796 207564 241452 266868 281694 311346 328643 362178 422541 467019 563388 622692 657286 724356 845082 934038 985929 1267623 1314572 1690164 1868076 1971858 2535246 2957787 3943716 5070492 5915574 8873361 11831148 17746722 35493444