Search a number
-
+
43452640 = 2557113527
BaseRepresentation
bin1010010111000…
…0100011100000
310000202121211001
42211300203200
542110441030
64151201344
71035225040
oct245604340
9100677731
1043452640
1122589680
1212676254
13900522a
145ab1720
153c34cca
hex29708e0

43452640 has 96 divisors (see below), whose sum is σ = 128024064. Its totient is φ = 13539840.

The previous prime is 43452637. The next prime is 43452641. The reversal of 43452640 is 4625434.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 43452599 and 43452608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (43452641) 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, 10557 + ... + 14083.

It is an arithmetic number, because the mean of its divisors is an integer number (1333584).

Almost surely, 243452640 is an apocalyptic number.

43452640 is a gapful number since it is divisible by the number (40) 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 43452640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64012032).

43452640 is an abundant number, since it is smaller than the sum of its proper divisors (84571424).

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

43452640 is a wasteful number, since it uses less digits than its factorization.

43452640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3560 (or 3552 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 28.

The square root of 43452640 is about 6591.8616490336. The cubic root of 43452640 is about 351.5648030730.

The spelling of 43452640 in words is "forty-three million, four hundred fifty-two thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 32 35 40 44 55 56 70 77 80 88 110 112 140 154 160 176 220 224 280 308 352 385 440 560 616 770 880 1120 1232 1540 1760 2464 3080 3527 6160 7054 12320 14108 17635 24689 28216 35270 38797 49378 56432 70540 77594 98756 112864 123445 141080 155188 193985 197512 246890 271579 282160 310376 387970 395024 493780 543158 564320 620752 775940 790048 987560 1086316 1241504 1357895 1551880 1975120 2172632 2715790 3103760 3950240 4345264 5431580 6207520 8690528 10863160 21726320 43452640