Search a number
-
+
43137144 = 23331923457
BaseRepresentation
bin1010010010001…
…1100001111000
310000011121001000
42210203201320
542020342034
64140325000
71032442161
oct244434170
9100147030
1043137144
1122393636
1212543760
138c2474b
145a2c768
153bc1599
hex2923878

43137144 has 128 divisors (see below), whose sum is σ = 131904000. Its totient is φ = 13001472.

The previous prime is 43137137. The next prime is 43137173. The reversal of 43137144 is 44173134.

It is a Harshad number since it is a multiple of its sum of digits (27).

Its product of digits (4032) is a multiple of the sum of its prime divisors (504).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 94164 + ... + 94620.

It is an arithmetic number, because the mean of its divisors is an integer number (1030500).

Almost surely, 243137144 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 43137144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65952000).

43137144 is an abundant number, since it is smaller than the sum of its proper divisors (88766856).

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

43137144 is a wasteful number, since it uses less digits than its factorization.

43137144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514 (or 504 counting only the distinct ones).

The product of its digits is 4032, while the sum is 27.

The square root of 43137144 is about 6567.8873315549. The cubic root of 43137144 is about 350.7118681501.

The spelling of 43137144 in words is "forty-three million, one hundred thirty-seven thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 19 23 24 27 36 38 46 54 57 69 72 76 92 108 114 138 152 171 184 207 216 228 276 342 414 437 456 457 513 552 621 684 828 874 914 1026 1242 1311 1368 1371 1656 1748 1828 2052 2484 2622 2742 3496 3656 3933 4104 4113 4968 5244 5484 7866 8226 8683 10488 10511 10968 11799 12339 15732 16452 17366 21022 23598 24678 26049 31464 31533 32904 34732 42044 47196 49356 52098 63066 69464 78147 84088 94392 94599 98712 104196 126132 156294 189198 199709 208392 234441 252264 283797 312588 378396 399418 468882 567594 599127 625176 756792 798836 937764 1135188 1198254 1597672 1797381 1875528 2270376 2396508 3594762 4793016 5392143 7189524 10784286 14379048 21568572 43137144