Search a number
-
+
492141330 = 232517321661
BaseRepresentation
bin11101010101010…
…111101100010010
31021022001100222200
4131111113230102
52001442010310
6120500144030
715124063242
oct3525275422
91238040880
10492141330
1123288a07a
12118998016
137ac630b5
144950bb22
152d3149c0
hex1d557b12

492141330 has 48 divisors (see below), whose sum is σ = 1354840344. Its totient is φ = 123517440.

The previous prime is 492141319. The next prime is 492141341. The reversal of 492141330 is 33141294.

492141330 is a `hidden beast` number, since 492 + 141 + 3 + 30 = 666.

It is an interprime number because it is at equal distance from previous prime (492141319) and next prime (492141341).

It can be written as a sum of positive squares in 4 ways, for example, as 391921209 + 100220121 = 19797^2 + 10011^2 .

It is a junction number, because it is equal to n+sod(n) for n = 492141294 and 492141303.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 159301 + ... + 162360.

Almost surely, 2492141330 is an apocalyptic number.

492141330 is an abundant number, since it is smaller than the sum of its proper divisors (862699014).

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

492141330 is a wasteful number, since it uses less digits than its factorization.

492141330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321691 (or 321688 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 492141330 is about 22184.2586083015. The cubic root of 492141330 is about 789.5202609924.

The spelling of 492141330 in words is "four hundred ninety-two million, one hundred forty-one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 102 153 170 255 306 510 765 1530 321661 643322 964983 1608305 1929966 2894949 3216610 4824915 5468237 5789898 9649830 10936474 14474745 16404711 27341185 28949490 32809422 49214133 54682370 82023555 98428266 164047110 246070665 492141330