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2013496384 = 26712792
BaseRepresentation
bin111100000000011…
…1000010001000000
312012022202012210011
41320000320101000
513110423341014
6531444114304
7100616302564
oct17000702100
95168665704
102013496384
119436256a9
12482395994
132611c14a3
141515ad6a4
15bbb7b7c4
hex78038440

2013496384 has 63 divisors (see below), whose sum is σ = 4104547671. Its totient is φ = 980004480.

The previous prime is 2013496339. The next prime is 2013496393. The reversal of 2013496384 is 4836943102.

It is a happy number.

The square root of 2013496384 is 44872.

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 25487257 + ... + 25487335.

Almost surely, 22013496384 is an apocalyptic number.

2013496384 is the 44872-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2013496384

2013496384 is an abundant number, since it is smaller than the sum of its proper divisors (2091051287).

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

2013496384 is an frugal number, since it uses more digits than its factorization.

2013496384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 40.

The cubic root of 2013496384 is about 1262.7487618035.

The spelling of 2013496384 in words is "two billion, thirteen million, four hundred ninety-six thousand, three hundred eighty-four".

Divisors: 1 2 4 8 16 32 64 71 79 142 158 284 316 568 632 1136 1264 2272 2528 4544 5041 5056 5609 6241 10082 11218 12482 20164 22436 24964 40328 44872 49928 80656 89744 99856 161312 179488 199712 322624 358976 398239 399424 443111 796478 886222 1592956 1772444 3185912 3544888 6371824 7089776 12743648 14179552 25487296 28359104 31460881 62921762 125843524 251687048 503374096 1006748192 2013496384