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116791248 = 24371931801
BaseRepresentation
bin1101111011000…
…01011111010000
322010202121110210
412331201133100
5214344304443
615331124120
72615465160
oct675413720
9263677423
10116791248
115aa1aaa2
1233143640
131b272562
14117225a0
15a3bec33
hex6f617d0

116791248 has 80 divisors (see below), whose sum is σ = 346791296. Its totient is φ = 33177600.

The previous prime is 116791231. The next prime is 116791319. The reversal of 116791248 is 842197611.

It is a Cunningham number, because it is equal to 108072-1.

It is a congruent number.

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, 63948 + ... + 65748.

Almost surely, 2116791248 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 116791248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173395648).

116791248 is an abundant number, since it is smaller than the sum of its proper divisors (230000048).

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

116791248 is a wasteful number, since it uses less digits than its factorization.

116791248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2012 (or 2006 counting only the distinct ones).

The product of its digits is 24192, while the sum is 39.

The square root of 116791248 is about 10806.9999537337. Note that the first 4 decimals coincide. The cubic root of 116791248 is about 488.8062681624.

The spelling of 116791248 in words is "one hundred sixteen million, seven hundred ninety-one thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 193 336 386 579 772 1158 1351 1544 1801 2316 2702 3088 3602 4053 4632 5403 5404 7204 8106 9264 10806 10808 12607 14408 16212 21612 21616 25214 28816 32424 37821 43224 50428 64848 75642 86448 100856 151284 201712 302568 347593 605136 695186 1042779 1390372 2085558 2433151 2780744 4171116 4866302 5561488 7299453 8342232 9732604 14598906 16684464 19465208 29197812 38930416 58395624 116791248