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46268838 = 232721119251
BaseRepresentation
bin1011000010000…
…0000110100110
310020001200220200
42300200012212
543321100323
64331411330
71101164400
oct260400646
9106050820
1046268838
1124132510
12135b3b46
139780015
146205b70
1540de443
hex2c201a6

46268838 has 144 divisors (see below), whose sum is σ = 134447040. Its totient is φ = 11340000.

The previous prime is 46268837. The next prime is 46268843. The reversal of 46268838 is 83886264.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 46268793 and 46268802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46268837) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 184213 + ... + 184463.

It is an arithmetic number, because the mean of its divisors is an integer number (933660).

Almost surely, 246268838 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46268838, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67223520).

46268838 is an abundant number, since it is smaller than the sum of its proper divisors (88178202).

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

46268838 is a wasteful number, since it uses less digits than its factorization.

46268838 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 293 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The square root of 46268838 is about 6802.1201106714. The cubic root of 46268838 is about 359.0014457723.

The spelling of 46268838 in words is "forty-six million, two hundred sixty-eight thousand, eight hundred thirty-eight".

Divisors: 1 2 3 6 7 9 11 14 18 19 21 22 33 38 42 49 57 63 66 77 98 99 114 126 133 147 154 171 198 209 231 251 266 294 342 399 418 441 462 502 539 627 693 753 798 882 931 1078 1197 1254 1386 1463 1506 1617 1757 1862 1881 2259 2394 2761 2793 2926 3234 3514 3762 4389 4518 4769 4851 5271 5522 5586 8283 8379 8778 9538 9702 10241 10542 12299 13167 14307 15813 16566 16758 19327 20482 24598 24849 26334 28614 30723 31626 33383 36897 38654 42921 49698 52459 57981 61446 66766 73794 85842 92169 100149 104918 110691 115962 135289 157377 173943 184338 200298 221382 233681 270578 300447 314754 347886 367213 405867 467362 472131 600894 701043 734426 811734 944262 1101639 1217601 1402086 2103129 2203278 2435202 2570491 3304917 4206258 5140982 6609834 7711473 15422946 23134419 46268838