Search a number
-
+
429299780 = 2257213311087
BaseRepresentation
bin11001100101101…
…001100001000100
31002220210200120212
4121211221201010
51334400043110
6110333214552
713431662600
oct3145514104
91086720525
10429299780
11200368308
12bb931458
136ac2c950
1441030500
1527a4ee05
hex19969844

429299780 has 144 divisors (see below), whose sum is σ = 1166893056. Its totient is φ = 131362560.

The previous prime is 429299779. The next prime is 429299797. The reversal of 429299780 is 87992924.

It is a super-2 number, since 2×4292997802 = 368596602216096800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 394397 + ... + 395483.

It is an arithmetic number, because the mean of its divisors is an integer number (8103424).

Almost surely, 2429299780 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 429299780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (583446528).

429299780 is an abundant number, since it is smaller than the sum of its proper divisors (737593276).

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

429299780 is a wasteful number, since it uses less digits than its factorization.

429299780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1154 (or 1145 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 50.

The square root of 429299780 is about 20719.5506708037. The cubic root of 429299780 is about 754.3743072771.

The spelling of 429299780 in words is "four hundred twenty-nine million, two hundred ninety-nine thousand, seven hundred eighty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 31 35 49 52 62 65 70 91 98 124 130 140 155 182 196 217 245 260 310 364 403 434 455 490 620 637 806 868 910 980 1085 1087 1274 1519 1612 1820 2015 2170 2174 2548 2821 3038 3185 4030 4340 4348 5435 5642 6076 6370 7595 7609 8060 10870 11284 12740 14105 14131 15190 15218 19747 21740 28210 28262 30380 30436 33697 38045 39494 53263 56420 56524 67394 70655 76090 78988 98735 98917 106526 134788 141310 152180 168485 197470 197834 213052 235879 266315 282620 336970 394940 395668 438061 471758 494585 532630 673940 692419 876122 943516 989170 1065260 1179395 1384838 1651153 1752244 1978340 2190305 2358790 2769676 3066427 3302306 3462095 4380610 4717580 6132854 6604612 6924190 8255765 8761220 12265708 13848380 15332135 16511530 21464989 30664270 33023060 42929978 61328540 85859956 107324945 214649890 429299780