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2019244096 = 264121372
BaseRepresentation
bin111100001011011…
…0011100001000000
312012201120020011101
41320112303201000
513113411302341
6532211224144
7101016202012
oct17026634100
95181506141
102019244096
119468a0a81
124842a8054
132624546bc
141522681b2
15bc414831
hex785b3840

2019244096 has 63 divisors (see below), whose sum is σ = 4137248647. Its totient is φ = 977807360.

The previous prime is 2019244093. The next prime is 2019244099. The reversal of 2019244096 is 6904429102.

It is a happy number.

The square root of 2019244096 is 44936.

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

It is an interprime number because it is at equal distance from previous prime (2019244093) and next prime (2019244099).

It can be written as a sum of positive squares in 4 ways, for example, as 424360000 + 1594884096 = 20600^2 + 39936^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2019244091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 14738940 + ... + 14739076.

Almost surely, 22019244096 is an apocalyptic number.

2019244096 is the 44936-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2019244096

2019244096 is an abundant number, since it is smaller than the sum of its proper divisors (2118004551).

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

2019244096 is an frugal number, since it uses more digits than its factorization.

2019244096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 37.

The cubic root of 2019244096 is about 1263.9491647557.

The spelling of 2019244096 in words is "two billion, nineteen million, two hundred forty-four thousand, ninety-six".

Divisors: 1 2 4 8 16 32 41 64 82 137 164 274 328 548 656 1096 1312 1681 2192 2624 3362 4384 5617 6724 8768 11234 13448 18769 22468 26896 37538 44936 53792 75076 89872 107584 150152 179744 230297 300304 359488 460594 600608 769529 921188 1201216 1539058 1842376 3078116 3684752 6156232 7369504 12312464 14739008 24624928 31550689 49249856 63101378 126202756 252405512 504811024 1009622048 2019244096