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41916096 = 2633127191
BaseRepresentation
bin1001111111100…
…1011011000000
32220212120002000
42133321123000
541212303341
64054224000
71016165235
oct237713300
986776060
1041916096
112172a202
1212055000
1388b7a31
1457d178c
153a2e8b6
hex27f96c0

41916096 has 112 divisors (see below), whose sum is σ = 124846080. Its totient is φ = 13789440.

The previous prime is 41916053. The next prime is 41916113. The reversal of 41916096 is 69061914.

41916096 is a `hidden beast` number, since 41 + 9 + 1 + 609 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 41916096.

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, 219361 + ... + 219551.

Almost surely, 241916096 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 41916096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62423040).

41916096 is an abundant number, since it is smaller than the sum of its proper divisors (82929984).

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

41916096 is a wasteful number, since it uses less digits than its factorization.

41916096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 41916096 is about 6474.2641280689. The cubic root of 41916096 is about 347.3710399107.

The spelling of 41916096 in words is "forty-one million, nine hundred sixteen thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 127 144 191 192 216 254 288 381 382 432 508 573 576 762 764 864 1016 1143 1146 1524 1528 1719 1728 2032 2286 2292 3048 3056 3429 3438 4064 4572 4584 5157 6096 6112 6858 6876 8128 9144 9168 10314 12192 12224 13716 13752 18288 18336 20628 24257 24384 27432 27504 36576 36672 41256 48514 54864 55008 72771 73152 82512 97028 109728 110016 145542 165024 194056 218313 219456 291084 330048 388112 436626 582168 654939 776224 873252 1164336 1309878 1552448 1746504 2328672 2619756 3493008 4657344 5239512 6986016 10479024 13972032 20958048 41916096