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46058328 = 23332373127
BaseRepresentation
bin1010111110110…
…0101101011000
310012200000011000
42233230231120
543242331303
64323105000
71066326561
oct257545530
9105600130
1046058328
1123aa9338
1213512160
139708264
14618d168
15409bda3
hex2becb58

46058328 has 128 divisors (see below), whose sum is σ = 136396800. Its totient is φ = 14370048.

The previous prime is 46058317. The next prime is 46058329. The reversal of 46058328 is 82385064.

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

It is a junction number, because it is equal to n+sod(n) for n = 46058292 and 46058301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46058329) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 362601 + ... + 362727.

It is an arithmetic number, because the mean of its divisors is an integer number (1065600).

Almost surely, 246058328 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 46058328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68198400).

46058328 is an abundant number, since it is smaller than the sum of its proper divisors (90338472).

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

46058328 is a wasteful number, since it uses less digits than its factorization.

46058328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 46058328 is about 6786.6286180990. The cubic root of 46058328 is about 358.4561666265.

The spelling of 46058328 in words is "forty-six million, fifty-eight thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 27 36 46 54 69 72 73 92 108 127 138 146 184 207 216 219 254 276 292 381 414 438 508 552 584 621 657 762 828 876 1016 1143 1242 1314 1524 1656 1679 1752 1971 2286 2484 2628 2921 3048 3358 3429 3942 4572 4968 5037 5256 5842 6716 6858 7884 8763 9144 9271 10074 11684 13432 13716 15111 15768 17526 18542 20148 23368 26289 27432 27813 30222 35052 37084 40296 45333 52578 55626 60444 70104 74168 78867 83439 90666 105156 111252 120888 157734 166878 181332 210312 213233 222504 250317 315468 333756 362664 426466 500634 630936 639699 667512 852932 1001268 1279398 1705864 1919097 2002536 2558796 3838194 5117592 5757291 7676388 11514582 15352776 23029164 46058328