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746000000 = 2756373
BaseRepresentation
bin101100011101110…
…000111010000000
31220222201201121122
4230131300322000
53011434000000
6202005211412
724325616054
oct5435607200
91828651548
10746000000
11353108929
12189a00b68
13bb726c25
147110dc64
154575c085
hex2c770e80

746000000 has 112 divisors (see below), whose sum is σ = 1862671470. Its totient is φ = 297600000.

The previous prime is 745999999. The next prime is 746000029. The reversal of 746000000 is 647.

It can be written as a sum of positive squares in 7 ways, for example, as 381342784 + 364657216 = 19528^2 + 19096^2 .

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 13 ways as a sum of consecutive naturals, for example, 1999814 + ... + 2000186.

Almost surely, 2746000000 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 746000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (931335735).

746000000 is an abundant number, since it is smaller than the sum of its proper divisors (1116671470).

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

746000000 is an frugal number, since it uses more digits than its factorization.

746000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 17.

The square root of 746000000 is about 27313.0005674953. Note that the first 3 decimals coincide. The cubic root of 746000000 is about 906.9421980736.

Adding to 746000000 its reverse (647), we get a palindrome (746000647).

The spelling of 746000000 in words is "seven hundred forty-six million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 373 400 500 625 640 746 800 1000 1250 1492 1600 1865 2000 2500 2984 3125 3200 3730 4000 5000 5968 6250 7460 8000 9325 10000 11936 12500 14920 15625 16000 18650 20000 23872 25000 29840 31250 37300 40000 46625 47744 50000 59680 62500 74600 80000 93250 100000 119360 125000 149200 186500 200000 233125 238720 250000 298400 373000 400000 466250 500000 596800 746000 932500 1000000 1165625 1193600 1492000 1865000 2000000 2331250 2984000 3730000 4662500 5828125 5968000 7460000 9325000 11656250 14920000 18650000 23312500 29840000 37300000 46625000 74600000 93250000 149200000 186500000 373000000 746000000