Search a number
-
+
428097540 = 223513548843
BaseRepresentation
bin11001100001000…
…100000000000100
31002211112121102110
4121201010000010
51334043110130
6110251341020
713415524533
oct3141040004
91084477373
10428097540
111aa717022
12bb451770
136a8cb670
1440bda31a
15278b3ab0
hex19844004

428097540 has 48 divisors (see below), whose sum is σ = 1290881088. Its totient is φ = 105377664.

The previous prime is 428097539. The next prime is 428097541. The reversal of 428097540 is 45790824.

It is an interprime number because it is at equal distance from previous prime (428097539) and next prime (428097541).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (428097541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 273642 + ... + 275201.

It is an arithmetic number, because the mean of its divisors is an integer number (26893356).

Almost surely, 2428097540 is an apocalyptic number.

It is an amenable number.

428097540 is an abundant number, since it is smaller than the sum of its proper divisors (862783548).

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

428097540 is a wasteful number, since it uses less digits than its factorization.

428097540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548868 (or 548866 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 428097540 is about 20690.5181182106. The cubic root of 428097540 is about 753.6694486937.

The spelling of 428097540 in words is "four hundred twenty-eight million, ninety-seven thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 780 548843 1097686 1646529 2195372 2744215 3293058 5488430 6586116 7134959 8232645 10976860 14269918 16465290 21404877 28539836 32930580 35674795 42809754 71349590 85619508 107024385 142699180 214048770 428097540