Search a number
-
+
428107890 = 23576730427
BaseRepresentation
bin11001100001000…
…110100001110010
31002211120010121210
4121201012201302
51334043423030
6110251500550
713415566650
oct3141064162
91084503553
10428107890
111aa723881
12bb457756
136a9032a2
1440bdddd0
15278b6bb0
hex19846872

428107890 has 64 divisors (see below), whose sum is σ = 1191803904. Its totient is φ = 96389568.

The previous prime is 428107793. The next prime is 428107891. The reversal of 428107890 is 98701824.

It is not an unprimeable number, because it can be changed into a prime (428107891) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1144 + ... + 29283.

It is an arithmetic number, because the mean of its divisors is an integer number (18621936).

Almost surely, 2428107890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 428107890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (595901952).

428107890 is an abundant number, since it is smaller than the sum of its proper divisors (763696014).

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

428107890 is a wasteful number, since it uses less digits than its factorization.

428107890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30511.

The product of its (nonzero) digits is 32256, while the sum is 39.

The square root of 428107890 is about 20690.7682312668. The cubic root of 428107890 is about 753.6755223998.

The spelling of 428107890 in words is "four hundred twenty-eight million, one hundred seven thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 67 70 105 134 201 210 335 402 469 670 938 1005 1407 2010 2345 2814 4690 7035 14070 30427 60854 91281 152135 182562 212989 304270 425978 456405 638967 912810 1064945 1277934 2038609 2129890 3194835 4077218 6115827 6389670 10193045 12231654 14270263 20386090 28540526 30579135 42810789 61158270 71351315 85621578 142702630 214053945 428107890