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41609088 = 2732191901
BaseRepresentation
bin1001111010111…
…0011110000000
32220021221221100
42132232132000
541122442323
64043454400
71013446203
oct236563600
986257840
1041609088
112153a584
1211b27400
13880b081
14575193a
1539bd943
hex27ae780

41609088 has 96 divisors (see below), whose sum is σ = 126102600. Its totient is φ = 13132800.

The previous prime is 41609059. The next prime is 41609089. The reversal of 41609088 is 88090614.

It is a happy number.

41609088 is a `hidden beast` number, since 41 + 609 + 0 + 8 + 8 = 666.

41609088 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41609089) 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 11 ways as a sum of consecutive naturals, for example, 20938 + ... + 22838.

Almost surely, 241609088 is an apocalyptic number.

41609088 is a gapful number since it is divisible by the number (48) 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 41609088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63051300).

41609088 is an abundant number, since it is smaller than the sum of its proper divisors (84493512).

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

41609088 is a wasteful number, since it uses less digits than its factorization.

41609088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1940 (or 1925 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 41609088 is about 6450.5106774580. The cubic root of 41609088 is about 346.5208722895.

The spelling of 41609088 in words is "forty-one million, six hundred nine thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 64 72 76 96 114 128 144 152 171 192 228 288 304 342 384 456 576 608 684 912 1152 1216 1368 1824 1901 2432 2736 3648 3802 5472 5703 7296 7604 10944 11406 15208 17109 21888 22812 30416 34218 36119 45624 60832 68436 72238 91248 108357 121664 136872 144476 182496 216714 243328 273744 288952 325071 364992 433428 547488 577904 650142 729984 866856 1094976 1155808 1300284 1733712 2189952 2311616 2600568 3467424 4623232 5201136 6934848 10402272 13869696 20804544 41609088