Search a number
-
+
43828740 = 22325594127
BaseRepresentation
bin1010011100110…
…0011000000100
310001110201201200
42213030120010
542210004430
64203222500
71041352404
oct247143004
9101421650
1043828740
11228161aa
1212817a30
139107487
145b6c804
153cab460
hex29cc604

43828740 has 72 divisors (see below), whose sum is σ = 135233280. Its totient is φ = 11486784.

The previous prime is 43828727. The next prime is 43828747. The reversal of 43828740 is 4782834.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 43828695 and 43828704.

It is not an unprimeable number, because it can be changed into a prime (43828747) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8557 + ... + 12683.

It is an arithmetic number, because the mean of its divisors is an integer number (1878240).

Almost surely, 243828740 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 43828740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67616640).

43828740 is an abundant number, since it is smaller than the sum of its proper divisors (91404540).

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

43828740 is a wasteful number, since it uses less digits than its factorization.

43828740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4201 (or 4196 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 43828740 is about 6620.3277864468. The cubic root of 43828740 is about 352.5762020258.

The spelling of 43828740 in words is "forty-three million, eight hundred twenty-eight thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 59 60 90 118 177 180 236 295 354 531 590 708 885 1062 1180 1770 2124 2655 3540 4127 5310 8254 10620 12381 16508 20635 24762 37143 41270 49524 61905 74286 82540 123810 148572 185715 243493 247620 371430 486986 730479 742860 973972 1217465 1460958 2191437 2434930 2921916 3652395 4382874 4869860 7304790 8765748 10957185 14609580 21914370 43828740