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46130688 = 29334771
BaseRepresentation
bin1010111111111…
…0011000000000
310012210200102000
42233332120000
543302140223
64324424000
71100050542
oct257763000
9105720360
1046130688
112404873a
1213548000
139732186
1461ab692
1540b3543
hex2bfe600

46130688 has 160 divisors (see below), whose sum is σ = 141419520. Its totient is φ = 14837760.

The previous prime is 46130687. The next prime is 46130731. The reversal of 46130688 is 88603164.

It is a happy number.

46130688 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46130683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 649693 + ... + 649763.

It is an arithmetic number, because the mean of its divisors is an integer number (883872).

Almost surely, 246130688 is an apocalyptic number.

46130688 is a gapful number since it is divisible by the number (48) 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 46130688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70709760).

46130688 is an abundant number, since it is smaller than the sum of its proper divisors (95288832).

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

46130688 is an equidigital number, since it uses as much as digits as its factorization.

46130688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 46130688 is about 6791.9575970408. The cubic root of 46130688 is about 358.6437860932.

The spelling of 46130688 in words is "forty-six million, one hundred thirty thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 47 48 54 64 71 72 94 96 108 128 141 142 144 188 192 213 216 256 282 284 288 376 384 423 426 432 512 564 568 576 639 752 768 846 852 864 1128 1136 1152 1269 1278 1504 1536 1692 1704 1728 1917 2256 2272 2304 2538 2556 3008 3337 3384 3408 3456 3834 4512 4544 4608 5076 5112 6016 6674 6768 6816 6912 7668 9024 9088 10011 10152 10224 12032 13348 13536 13632 13824 15336 18048 18176 20022 20304 20448 24064 26696 27072 27264 30033 30672 36096 36352 40044 40608 40896 53392 54144 54528 60066 61344 72192 80088 81216 81792 90099 106784 108288 109056 120132 122688 160176 162432 163584 180198 213568 216576 240264 245376 320352 324864 327168 360396 427136 480528 490752 640704 649728 720792 854272 961056 981504 1281408 1441584 1708544 1922112 2562816 2883168 3844224 5125632 5766336 7688448 11532672 15376896 23065344 46130688