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104644288 = 2673759107
BaseRepresentation
bin1100011110010…
…11111011000000
321021220110222101
412033023323000
5203242104123
614214520144
72410314250
oct617137300
9237813871
10104644288
1154083891
122b066054
13188ab6c8
14dc7d960
1592c0aad
hex63cbec0

104644288 has 112 divisors (see below), whose sum is σ = 250179840. Its totient is φ = 42494976.

The previous prime is 104644249. The next prime is 104644357. The reversal of 104644288 is 882446401.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×1046442882 = 21900854022053888, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (37).

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, 977931 + ... + 978037.

Almost surely, 2104644288 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 104644288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125089920).

104644288 is an abundant number, since it is smaller than the sum of its proper divisors (145535552).

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

104644288 is a wasteful number, since it uses less digits than its factorization.

104644288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 37.

The square root of 104644288 is about 10229.5790724741. The cubic root of 104644288 is about 471.2360523280.

The spelling of 104644288 in words is "one hundred four million, six hundred forty-four thousand, two hundred eighty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 37 56 59 64 74 107 112 118 148 214 224 236 259 296 413 428 448 472 518 592 749 826 856 944 1036 1184 1498 1652 1712 1888 2072 2183 2368 2996 3304 3424 3776 3959 4144 4366 5992 6313 6608 6848 7918 8288 8732 11984 12626 13216 15281 15836 16576 17464 23968 25252 26432 27713 30562 31672 34928 44191 47936 50504 55426 61124 63344 69856 88382 101008 110852 122248 126688 139712 176764 202016 221704 233581 244496 253376 353528 404032 443408 467162 488992 707056 886816 934324 977984 1414112 1635067 1773632 1868648 2828224 3270134 3737296 6540268 7474592 13080536 14949184 26161072 52322144 104644288