Search a number
-
+
46403328 = 283233771
BaseRepresentation
bin1011000100000…
…0111100000000
310020022112101210
42301000330000
543334401303
64334330120
71102264446
oct261007400
9106275353
1046403328
1124214564
1213659940
1397c92ba
14623cb96
154119203
hex2c40f00

46403328 has 144 divisors (see below), whose sum is σ = 134217216. Its totient is φ = 14192640.

The previous prime is 46403327. The next prime is 46403333. The reversal of 46403328 is 82330464.

It is a junction number, because it is equal to n+sod(n) for n = 46403295 and 46403304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46403327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 653533 + ... + 653603.

It is an arithmetic number, because the mean of its divisors is an integer number (932064).

Almost surely, 246403328 is an apocalyptic number.

46403328 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 46403328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67108608).

46403328 is an abundant number, since it is smaller than the sum of its proper divisors (87813888).

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

46403328 is a wasteful number, since it uses less digits than its factorization.

46403328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 46403328 is about 6811.9988256018. The cubic root of 46403328 is about 359.3489467490.

The spelling of 46403328 in words is "forty-six million, four hundred three thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 37 46 48 64 69 71 74 92 96 111 128 138 142 148 184 192 213 222 256 276 284 296 368 384 426 444 552 568 592 736 768 851 852 888 1104 1136 1184 1472 1633 1702 1704 1776 2208 2272 2368 2553 2627 2944 3266 3404 3408 3552 4416 4544 4736 4899 5106 5254 5888 6532 6808 6816 7104 7881 8832 9088 9472 9798 10212 10508 13064 13616 13632 14208 15762 17664 18176 19596 20424 21016 26128 27232 27264 28416 31524 39192 40848 42032 52256 54464 54528 60421 63048 78384 81696 84064 104512 108928 120842 126096 156768 163392 168128 181263 209024 217856 241684 252192 313536 326784 336256 362526 418048 483368 504384 627072 653568 672512 725052 966736 1008768 1254144 1450104 1933472 2017536 2900208 3866944 5800416 7733888 11600832 15467776 23201664 46403328