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43225728 = 2737131237
BaseRepresentation
bin1010010011100…
…1001010000000
310000100002112220
42210321022000
542031210403
64142251040
71033261350
oct244711200
9100302486
1043225728
1122444147
1212586a80
138c55b70
145a52b60
153bdc953
hex2939280

43225728 has 128 divisors (see below), whose sum is σ = 141429120. Its totient is φ = 11390976.

The previous prime is 43225727. The next prime is 43225729. The reversal of 43225728 is 82752234.

It is an interprime number because it is at equal distance from previous prime (43225727) and next prime (43225729).

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×432257282 = 3736927122259968, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (43225727) 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, 34326 + ... + 35562.

It is an arithmetic number, because the mean of its divisors is an integer number (1104915).

Almost surely, 243225728 is an apocalyptic number.

43225728 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 43225728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70714560).

43225728 is an abundant number, since it is smaller than the sum of its proper divisors (98203392).

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

43225728 is a wasteful number, since it uses less digits than its factorization.

43225728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1274 (or 1262 counting only the distinct ones).

The product of its digits is 26880, while the sum is 33.

The square root of 43225728 is about 6574.6275940163. The cubic root of 43225728 is about 350.9517713623.

The spelling of 43225728 in words is "forty-three million, two hundred twenty-five thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 64 78 84 91 96 104 112 128 156 168 182 192 208 224 273 312 336 364 384 416 448 546 624 672 728 832 896 1092 1237 1248 1344 1456 1664 2184 2474 2496 2688 2912 3711 4368 4948 4992 5824 7422 8659 8736 9896 11648 14844 16081 17318 17472 19792 25977 29688 32162 34636 34944 39584 48243 51954 59376 64324 69272 79168 96486 103908 112567 118752 128648 138544 158336 192972 207816 225134 237504 257296 277088 337701 385944 415632 450268 475008 514592 554176 675402 771888 831264 900536 1029184 1108352 1350804 1543776 1662528 1801072 2058368 2701608 3087552 3325056 3602144 5403216 6175104 7204288 10806432 14408576 21612864 43225728