Search a number
-
+
428432550 = 235271331387
BaseRepresentation
bin11001100010010…
…101110010100110
31002212011121222020
4121202111302212
51334134320200
6110302444010
713421421330
oct3142256246
91085147866
10428432550
111aa925797
12bb593606
136a9b7cb0
1440c86450
152792cea0
hex19895ca6

428432550 has 96 divisors (see below), whose sum is σ = 1307749632. Its totient is φ = 90391680.

The previous prime is 428432527. The next prime is 428432567. The reversal of 428432550 is 55234824.

It is a congruent number.

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, 2044 + ... + 29343.

It is an arithmetic number, because the mean of its divisors is an integer number (13622392).

Almost surely, 2428432550 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 428432550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (653874816).

428432550 is an abundant number, since it is smaller than the sum of its proper divisors (879317082).

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

428432550 is a wasteful number, since it uses less digits than its factorization.

428432550 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31422 (or 31417 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 33.

The square root of 428432550 is about 20698.6122723240. The cubic root of 428432550 is about 753.8659934414.

The spelling of 428432550 in words is "four hundred twenty-eight million, four hundred thirty-two thousand, five hundred fifty".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 25 26 30 35 39 42 50 65 70 75 78 91 105 130 150 175 182 195 210 273 325 350 390 455 525 546 650 910 975 1050 1365 1950 2275 2730 4550 6825 13650 31387 62774 94161 156935 188322 219709 313870 408031 439418 470805 659127 784675 816062 941610 1098545 1224093 1318254 1569350 2040155 2197090 2354025 2448186 2856217 3295635 4080310 4708050 5492725 5712434 6120465 6591270 8568651 10200775 10985450 12240930 14281085 16478175 17137302 20401550 28562170 30602325 32956350 42843255 61204650 71405425 85686510 142810850 214216275 428432550