Search a number
-
+
296229492 = 2232135771097
BaseRepresentation
bin10001101010000…
…001101001110100
3202122102000110200
4101222001221310
51101313320432
645221120500
710224623556
oct2152015164
9678360420
10296229492
11142239669
1283259130
13494aa830
142b4b14d6
151b016a7c
hex11a81a74

296229492 has 72 divisors (see below), whose sum is σ = 808536456. Its totient is φ = 90906624.

The previous prime is 296229473. The next prime is 296229499. The reversal of 296229492 is 294922692.

It can be written as a sum of positive squares in 4 ways, for example, as 53056656 + 243172836 = 7284^2 + 15594^2 .

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (296229499) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 269488 + ... + 270584.

It is an arithmetic number, because the mean of its divisors is an integer number (11229673).

Almost surely, 2296229492 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 296229492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404268228).

296229492 is an abundant number, since it is smaller than the sum of its proper divisors (512306964).

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

296229492 is a wasteful number, since it uses less digits than its factorization.

296229492 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1697 (or 1692 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The square root of 296229492 is about 17211.3187176346. The cubic root of 296229492 is about 666.6165596785.

The spelling of 296229492 in words is "two hundred ninety-six million, two hundred twenty-nine thousand, four hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 577 1097 1154 1731 2194 2308 3291 3462 4388 5193 6582 6924 7501 9873 10386 13164 14261 15002 19746 20772 22503 28522 30004 39492 42783 45006 57044 67509 85566 90012 128349 135018 171132 256698 270036 513396 632969 1265938 1898907 2531876 3797814 5696721 7595628 8228597 11393442 16457194 22786884 24685791 32914388 49371582 74057373 98743164 148114746 296229492