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944716096 = 2641536793
BaseRepresentation
bin111000010011110…
…011100101000000
32102211122112212001
4320103303211000
53413321403341
6233424313344
732260645222
oct7023634500
92384575761
10944716096
114452a4205
12224472854
13120951a0c
148d67a412
1557e10d31
hex384f3940

944716096 has 56 divisors (see below), whose sum is σ = 1956916584. Its totient is φ = 452075520.

The previous prime is 944716051. The next prime is 944716111. The reversal of 944716096 is 690617449.

It can be written as a sum of positive squares in 4 ways, for example, as 14400 + 944701696 = 120^2 + 30736^2 .

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 135676 + ... + 142468.

It is an arithmetic number, because the mean of its divisors is an integer number (34944939).

Almost surely, 2944716096 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 944716096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (978458292).

944716096 is an abundant number, since it is smaller than the sum of its proper divisors (1012200488).

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

944716096 is a wasteful number, since it uses less digits than its factorization.

944716096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6899 (or 6889 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 46.

The square root of 944716096 is about 30736.2342521006. The cubic root of 944716096 is about 981.2216113820.

The spelling of 944716096 in words is "nine hundred forty-four million, seven hundred sixteen thousand, ninety-six".

Divisors: 1 2 4 8 16 32 41 53 64 82 106 164 212 328 424 656 848 1312 1696 2173 2624 3392 4346 6793 8692 13586 17384 27172 34768 54344 69536 108688 139072 217376 278513 360029 434752 557026 720058 1114052 1440116 2228104 2880232 4456208 5760464 8912416 11520928 14761189 17824832 23041856 29522378 59044756 118089512 236179024 472358048 944716096