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116634048 = 2632112879
BaseRepresentation
bin1101111001110…
…11000111000000
322010110121211120
412330323013000
5214324242143
615323512240
72614241646
oct674730700
9263417746
10116634048
115a922983
1233088680
131b218b3b
14116c1196
15a38d383
hex6f3b1c0

116634048 has 56 divisors (see below), whose sum is σ = 310164480. Its totient is φ = 38680320.

The previous prime is 116634041. The next prime is 116634083. The reversal of 116634048 is 840436611.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116634041) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39073 + ... + 41951.

Almost surely, 2116634048 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 116634048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155082240).

116634048 is an abundant number, since it is smaller than the sum of its proper divisors (193530432).

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

116634048 is a wasteful number, since it uses less digits than its factorization.

116634048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3105 (or 3095 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 116634048 is about 10799.7244409290. The cubic root of 116634048 is about 488.5868600362.

The spelling of 116634048 in words is "one hundred sixteen million, six hundred thirty-four thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 211 422 633 844 1266 1688 2532 2879 3376 5064 5758 6752 8637 10128 11516 13504 17274 20256 23032 34548 40512 46064 69096 92128 138192 184256 276384 552768 607469 1214938 1822407 2429876 3644814 4859752 7289628 9719504 14579256 19439008 29158512 38878016 58317024 116634048