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41409696 = 253835197
BaseRepresentation
bin1001110111110…
…1110010100000
32212220211102110
42131331302200
541100102241
64035315320
71011655656
oct235756240
985824373
1041409696
1121413799
1211a4bb40
13876b3a3
1456dcdd6
15397e816
hex277dca0

41409696 has 48 divisors (see below), whose sum is σ = 110031264. Its totient is φ = 13634304.

The previous prime is 41409689. The next prime is 41409701. The reversal of 41409696 is 69690414.

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5370 + ... + 10566.

It is an arithmetic number, because the mean of its divisors is an integer number (2292318).

Almost surely, 241409696 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 41409696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55015632).

41409696 is an abundant number, since it is smaller than the sum of its proper divisors (68621568).

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

41409696 is a wasteful number, since it uses less digits than its factorization.

41409696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5293 (or 5285 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 41409696 is about 6435.0365966325. The cubic root of 41409696 is about 345.9664729673.

The spelling of 41409696 in words is "forty-one million, four hundred nine thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 83 96 166 249 332 498 664 996 1328 1992 2656 3984 5197 7968 10394 15591 20788 31182 41576 62364 83152 124728 166304 249456 431351 498912 862702 1294053 1725404 2588106 3450808 5176212 6901616 10352424 13803232 20704848 41409696