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41003136 = 273235593
BaseRepresentation
bin1001110001101…
…0100010000000
32212011011201200
42130122202000
540444100021
64022501200
71005343446
oct234324200
985134650
1041003136
1121166299
1211894800
138658315
145634b96
1538ee126
hex271a880

41003136 has 48 divisors (see below), whose sum is σ = 117994110. Its totient is φ = 13667328.

The previous prime is 41003119. The next prime is 41003143. The reversal of 41003136 is 63130014.

It can be written as a sum of positive squares in only one way, i.e., 40449600 + 553536 = 6360^2 + 744^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 16645 + ... + 18948.

Almost surely, 241003136 is an apocalyptic number.

It is an amenable number.

41003136 is an abundant number, since it is smaller than the sum of its proper divisors (76990974).

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

41003136 is a wasteful number, since it uses less digits than its factorization.

41003136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35613 (or 35598 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 41003136 is about 6403.3691132091. The cubic root of 41003136 is about 344.8305153664.

The spelling of 41003136 in words is "forty-one million, three thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 35593 71186 106779 142372 213558 284744 320337 427116 569488 640674 854232 1138976 1281348 1708464 2277952 2562696 3416928 4555904 5125392 6833856 10250784 13667712 20501568 41003136