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492143688 = 23342926189
BaseRepresentation
bin11101010101011…
…000010001001000
31021022001111020000
4131111120101020
52001442044223
6120500203000
715124103151
oct3525302110
91238044200
10492143688
11232890923
12118999460
137ac641aa
144950c928
152d315543
hex1d558448

492143688 has 80 divisors (see below), whose sum is σ = 1426045500. Its totient is φ = 158385024.

The previous prime is 492143683. The next prime is 492143699. The reversal of 492143688 is 886341294.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 475152804 + 16990884 = 21798^2 + 4122^2 .

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (492143683) 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, 5698 + ... + 31886.

Almost surely, 2492143688 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 492143688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (713022750).

492143688 is an abundant number, since it is smaller than the sum of its proper divisors (933901812).

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

492143688 is a wasteful number, since it uses less digits than its factorization.

492143688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26236 (or 26223 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 492143688 is about 22184.3117540301. The cubic root of 492143688 is about 789.5215219349.

The spelling of 492143688 in words is "four hundred ninety-two million, one hundred forty-three thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 29 36 54 58 72 81 87 108 116 162 174 216 232 261 324 348 522 648 696 783 1044 1566 2088 2349 3132 4698 6264 9396 18792 26189 52378 78567 104756 157134 209512 235701 314268 471402 628536 707103 759481 942804 1414206 1518962 1885608 2121309 2278443 2828412 3037924 4242618 4556886 5656824 6075848 6835329 8485236 9113772 13670658 16970472 18227544 20505987 27341316 41011974 54682632 61517961 82023948 123035922 164047896 246071844 492143688