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46114992 = 24327114159
BaseRepresentation
bin1010111111101…
…0100010110000
310012202212212200
42233322202300
543301134432
64324223200
71066654020
oct257724260
9105685780
1046114992
1124037970
121353ab00
139727ca1
1461a5a80
1540ada7c
hex2bfa8b0

46114992 has 120 divisors (see below), whose sum is σ = 160942080. Its totient is φ = 11975040.

The previous prime is 46114973. The next prime is 46114993. The reversal of 46114992 is 29941164.

It is a happy number.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (46114993) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9009 + ... + 13167.

It is an arithmetic number, because the mean of its divisors is an integer number (1341184).

Almost surely, 246114992 is an apocalyptic number.

46114992 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46114992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80471040).

46114992 is an abundant number, since it is smaller than the sum of its proper divisors (114827088).

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

46114992 is a wasteful number, since it uses less digits than its factorization.

46114992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4191 (or 4182 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 46114992 is about 6790.8020144899. The cubic root of 46114992 is about 358.6031052097.

Subtracting from 46114992 its reverse (29941164), we obtain a triangular number (16173828 = T5687).

The spelling of 46114992 in words is "forty-six million, one hundred fourteen thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 28 33 36 42 44 48 56 63 66 72 77 84 88 99 112 126 132 144 154 168 176 198 231 252 264 308 336 396 462 504 528 616 693 792 924 1008 1232 1386 1584 1848 2772 3696 4159 5544 8318 11088 12477 16636 24954 29113 33272 37431 45749 49908 58226 66544 74862 87339 91498 99816 116452 137247 149724 174678 182996 199632 232904 262017 274494 299448 320243 349356 365992 411741 465808 524034 548988 598896 640486 698712 731984 823482 960729 1048068 1097976 1280972 1397424 1646964 1921458 2096136 2195952 2561944 2882187 3293928 3842916 4192272 5123888 5764374 6587856 7685832 11528748 15371664 23057496 46114992