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2050000000 = 275841
BaseRepresentation
bin111101000110000…
…1000010010000000
312021212102210022221
41322030020102000
513144300000000
6535230340424
7101541466246
oct17214102200
95255383287
102050000000
11962198384
1249265a714
13268932769
14156392796
15bee8c61a
hex7a308480

2050000000 has 144 divisors (see below), whose sum is σ = 5229489510. Its totient is φ = 800000000.

The previous prime is 2049999979. The next prime is 2050000013. The reversal of 2050000000 is 502.

It can be written as a sum of positive squares in 9 ways, for example, as 1650959424 + 399040576 = 40632^2 + 19976^2 .

It is a sliding number, since 2050000000 = 50000000 + 2000000000 and 1/50000000 + 1/2000000000 = 0.00000002050000000.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 49999980 + ... + 50000020.

Almost surely, 22050000000 is an apocalyptic number.

2050000000 is a gapful number since it is divisible by the number (20) 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 2050000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2614744755).

2050000000 is an abundant number, since it is smaller than the sum of its proper divisors (3179489510).

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

2050000000 is an frugal number, since it uses more digits than its factorization.

2050000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 7.

The square root of 2050000000 is about 45276.9256906871. The cubic root of 2050000000 is about 1270.3340927725.

Adding to 2050000000 its reverse (502), we get a palindrome (2050000502).

It can be divided in two parts, 20 and 50000000, that multiplied together give a 9-th power (1000000000 = 109).

The spelling of 2050000000 in words is "two billion, fifty million", and thus it is an aban number, an eban number, and an uban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 41 50 64 80 82 100 125 128 160 164 200 205 250 320 328 400 410 500 625 640 656 800 820 1000 1025 1250 1312 1600 1640 2000 2050 2500 2624 3125 3200 3280 4000 4100 5000 5125 5248 6250 6560 8000 8200 10000 10250 12500 13120 15625 16000 16400 20000 20500 25000 25625 26240 31250 32800 40000 41000 50000 51250 62500 65600 78125 80000 82000 100000 102500 125000 128125 131200 156250 164000 200000 205000 250000 256250 312500 328000 390625 400000 410000 500000 512500 625000 640625 656000 781250 820000 1000000 1025000 1250000 1281250 1562500 1640000 2000000 2050000 2500000 2562500 3125000 3203125 3280000 4100000 5000000 5125000 6250000 6406250 8200000 10000000 10250000 12500000 12812500 16015625 16400000 20500000 25000000 25625000 32031250 41000000 50000000 51250000 64062500 82000000 102500000 128125000 205000000 256250000 410000000 512500000 1025000000 2050000000