Search a number
-
+
4429740700 = 2252711619431
BaseRepresentation
bin1000010000000100…
…00111101010011100
3102102201100010212101
410020002013222130
533033003200300
62011320414444
7214526113630
oct41002075234
912381303771
104429740700
111973522830
12a37617424
13557976c58
1430045adc0
151add60b6a
hex108087a9c

4429740700 has 144 divisors (see below), whose sum is σ = 12182220288. Its totient is φ = 1357920000.

The previous prime is 4429740697. The next prime is 4429740701. The reversal of 4429740700 is 70479244.

It is a self number, because there is not a number n which added to its sum of digits gives 4429740700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4429740701) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 464985 + ... + 474415.

It is an arithmetic number, because the mean of its divisors is an integer number (84598752).

Almost surely, 24429740700 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 4429740700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6091110144).

4429740700 is an abundant number, since it is smaller than the sum of its proper divisors (7752479588).

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

4429740700 is a wasteful number, since it uses less digits than its factorization.

4429740700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9524 (or 9517 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 37.

The square root of 4429740700 is about 66556.2972227272. The cubic root of 4429740700 is about 1642.3262521172.

The spelling of 4429740700 in words is "four billion, four hundred twenty-nine million, seven hundred forty thousand, seven hundred".

Divisors: 1 2 4 5 7 10 11 14 20 22 25 28 35 44 50 55 61 70 77 100 110 122 140 154 175 220 244 275 305 308 350 385 427 550 610 671 700 770 854 1100 1220 1342 1525 1540 1708 1925 2135 2684 3050 3355 3850 4270 4697 6100 6710 7700 8540 9394 9431 10675 13420 16775 18788 18862 21350 23485 33550 37724 42700 46970 47155 66017 67100 93940 94310 103741 117425 132034 188620 207482 234850 235775 264068 330085 414964 469700 471550 518705 575291 660170 726187 943100 1037410 1150582 1320340 1452374 1650425 2074820 2301164 2593525 2876455 2904748 3300850 3630935 4027037 5187050 5752910 6328201 6601700 7261870 8054074 10374100 11505820 12656402 14382275 14523740 16108148 18154675 20135185 25312804 28764550 31641005 36309350 40270370 44297407 57529100 63282010 72618700 80540740 88594814 100675925 126564020 158205025 177189628 201351850 221487035 316410050 402703700 442974070 632820100 885948140 1107435175 2214870350 4429740700