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40639104 = 2733111069
BaseRepresentation
bin1001101100000…
…1101010000000
32211110200101000
42123001222000
540400422404
64011012000
71002266232
oct233015200
984420330
1040639104
1120a37840
121173a000
13855b70c
14557c252
15387b339
hex26c1a80

40639104 has 128 divisors (see below), whose sum is σ = 130968000. Its totient is φ = 12303360.

The previous prime is 40639103. The next prime is 40639117. The reversal of 40639104 is 40193604.

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

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (40639103) 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, 37482 + ... + 38550.

Almost surely, 240639104 is an apocalyptic number.

40639104 is a gapful number since it is divisible by the number (44) 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 40639104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65484000).

40639104 is an abundant number, since it is smaller than the sum of its proper divisors (90328896).

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

40639104 is a wasteful number, since it uses less digits than its factorization.

40639104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1103 (or 1085 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 40639104 is about 6374.8807047662. The cubic root of 40639104 is about 343.8069946708.

The spelling of 40639104 in words is "forty million, six hundred thirty-nine thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 88 96 99 108 128 132 144 176 192 198 216 264 288 297 352 384 396 432 528 576 594 704 792 864 1056 1069 1152 1188 1408 1584 1728 2112 2138 2376 3168 3207 3456 4224 4276 4752 6336 6414 8552 9504 9621 11759 12672 12828 17104 19008 19242 23518 25656 28863 34208 35277 38016 38484 47036 51312 57726 68416 70554 76968 94072 102624 105831 115452 136832 141108 153936 188144 205248 211662 230904 282216 307872 317493 376288 410496 423324 461808 564432 615744 634986 752576 846648 923616 1128864 1231488 1269972 1505152 1693296 1847232 2257728 2539944 3386592 3694464 4515456 5079888 6773184 10159776 13546368 20319552 40639104