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2085087744 = 293516759
BaseRepresentation
bin111110001000111…
…1110101000000000
312101022110102200000
41330101332220000
513232240301434
6542522400000
7102445645005
oct17421765000
95338412600
102085087744
1197aa83313
124a2360000
13272c9943c
1415acc78ac
15c30bdb99
hex7c47ea00

2085087744 has 120 divisors (see below), whose sum is σ = 6240954720. Its totient is φ = 694987776.

The previous prime is 2085087731. The next prime is 2085087749. The reversal of 2085087744 is 4477805802.

It is a self number, because there is not a number n which added to its sum of digits gives 2085087744.

It is not an unprimeable number, because it can be changed into a prime (2085087749) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 116037 + ... + 132795.

It is an arithmetic number, because the mean of its divisors is an integer number (52007956).

Almost surely, 22085087744 is an apocalyptic number.

2085087744 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2085087744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3120477360).

2085087744 is an abundant number, since it is smaller than the sum of its proper divisors (4155866976).

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

2085087744 is an frugal number, since it uses more digits than its factorization.

2085087744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16792 (or 16764 counting only the distinct ones).

The product of its (nonzero) digits is 501760, while the sum is 45.

The square root of 2085087744 is about 45662.7610203325. The cubic root of 2085087744 is about 1277.5407991177.

The spelling of 2085087744 in words is "two billion, eighty-five million, eighty-seven thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 432 486 512 576 648 768 864 972 1152 1296 1536 1728 1944 2304 2592 3456 3888 4608 5184 6912 7776 10368 13824 15552 16759 20736 31104 33518 41472 50277 62208 67036 100554 124416 134072 150831 201108 268144 301662 402216 452493 536288 603324 804432 904986 1072576 1206648 1357479 1608864 1809972 2145152 2413296 2714958 3217728 3619944 4072437 4290304 4826592 5429916 6435456 7239888 8144874 8580608 9653184 10859832 12870912 14479776 16289748 19306368 21719664 25741824 28959552 32579496 38612736 43439328 57919104 65158992 77225472 86878656 115838208 130317984 173757312 231676416 260635968 347514624 521271936 695029248 1042543872 2085087744