Search a number
-
+
428103036 = 223327114627
BaseRepresentation
bin11001100001000…
…101010101111100
31002211112212222000
4121201011111330
51334043244121
6110251422300
713415546544
oct3141052574
91084485860
10428103036
111aa720169
12bb454990
136a90100a
1440bdc324
15278b5526
hex1984557c

428103036 has 48 divisors (see below), whose sum is σ = 1114068480. Its totient is φ = 142164720.

The previous prime is 428103031. The next prime is 428103089. The reversal of 428103036 is 630301824.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428103031) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21955 + ... + 36581.

It is an arithmetic number, because the mean of its divisors is an integer number (23209760).

Almost surely, 2428103036 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 428103036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557034240).

428103036 is an abundant number, since it is smaller than the sum of its proper divisors (685965444).

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

428103036 is a wasteful number, since it uses less digits than its factorization.

428103036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14911 (or 14903 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 428103036 is about 20690.6509322447. The cubic root of 428103036 is about 753.6726739318.

The spelling of 428103036 in words is "four hundred twenty-eight million, one hundred three thousand, thirty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 271 542 813 1084 1626 2439 3252 4878 7317 9756 14627 14634 29254 29268 43881 58508 87762 131643 175524 263286 394929 526572 789858 1579716 3963917 7927834 11891751 15855668 23783502 35675253 47567004 71350506 107025759 142701012 214051518 428103036