Search a number
-
+
428241978 = 23412372137
BaseRepresentation
bin11001100001100…
…111010000111010
31002211210221120000
4121201213100322
51334112220403
6110254413430
713416665613
oct3141472072
91084727500
10428241978
111aa80559a
12bb501276
136a94c328
1440c36c0a
15278e17a3
hex1986743a

428241978 has 40 divisors (see below), whose sum is σ = 960804372. Its totient is φ = 142565184.

The previous prime is 428241977. The next prime is 428241997. The reversal of 428241978 is 879142824.

It can be written as a sum of positive squares in 2 ways, for example, as 418488849 + 9753129 = 20457^2 + 3123^2 .

It is not an unprimeable number, because it can be changed into a prime (428241977) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 199326 + ... + 201462.

Almost surely, 2428241978 is an apocalyptic number.

428241978 is an abundant number, since it is smaller than the sum of its proper divisors (532562394).

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

428241978 is a wasteful number, since it uses less digits than its factorization.

428241978 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3388 (or 3379 counting only the distinct ones).

The product of its digits is 258048, while the sum is 45.

The square root of 428241978 is about 20694.0082632631. The cubic root of 428241978 is about 753.7542006152.

The spelling of 428241978 in words is "four hundred twenty-eight million, two hundred forty-one thousand, nine hundred seventy-eight".

Divisors: 1 2 3 6 9 18 27 54 81 162 1237 2137 2474 3711 4274 6411 7422 11133 12822 19233 22266 33399 38466 57699 66798 100197 115398 173097 200394 346194 2643469 5286938 7930407 15860814 23791221 47582442 71373663 142747326 214120989 428241978