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1097729424 = 24321122512
BaseRepresentation
bin100000101101110…
…0000010110010000
32211111120102200100
41001123200112100
54222004320144
6300532052400
736126355221
oct10133402620
92744512610
101097729424
11513704400
12267764100
1314656734c
14a5b0b248
1566588269
hex416e0590

1097729424 has 135 divisors (see below), whose sum is σ = 3390297547. Its totient is φ = 331320000.

The previous prime is 1097729419. The next prime is 1097729443. The reversal of 1097729424 is 4249277901.

Multipling 1097729424 by its product of nonzero digits (254016), we get a square (278840837366784 = 166985282).

It can be divided in two parts, 10977 and 29424, that added together give a square (40401 = 2012).

It is a happy number.

The square root of 1097729424 is 33132.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1097729424.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4373299 + ... + 4373549.

Almost surely, 21097729424 is an apocalyptic number.

1097729424 is the 33132-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1097729424

1097729424 is an abundant number, since it is smaller than the sum of its proper divisors (2292568123).

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

1097729424 is a wasteful number, since it uses less digits than its factorization.

1097729424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The cubic root of 1097729424 is about 1031.5693624214.

The spelling of 1097729424 in words is "one billion, ninety-seven million, seven hundred twenty-nine thousand, four hundred twenty-four".