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4245015200 = 25528959621
BaseRepresentation
bin1111110100000101…
…1100101010100000
3101221211202010010012
43331001130222200
532143210441300
61541121224052
7210124014416
oct37501345240
911854663105
104245015200
111889222828
129a5792028
1352860a21a
142c3ad32b6
1519ca22435
hexfd05caa0

4245015200 has 72 divisors (see below), whose sum is σ = 10479758940. Its totient is φ = 1678899200.

The previous prime is 4245015199. The next prime is 4245015239. The reversal of 4245015200 is 25105424.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 1612504336 + 2632510864 = 40156^2 + 51308^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41390 + ... + 101010.

Almost surely, 24245015200 is an apocalyptic number.

4245015200 is a gapful number since it is divisible by the number (40) 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 4245015200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5239879470).

4245015200 is an abundant number, since it is smaller than the sum of its proper divisors (6234743740).

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

4245015200 is a wasteful number, since it uses less digits than its factorization.

4245015200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59730 (or 59717 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 23.

The square root of 4245015200 is about 65153.7811642578. The cubic root of 4245015200 is about 1619.1723659469.

The spelling of 4245015200 in words is "four billion, two hundred forty-five million, fifteen thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 89 100 160 178 200 356 400 445 712 800 890 1424 1780 2225 2848 3560 4450 7120 8900 14240 17800 35600 59621 71200 119242 238484 298105 476968 596210 953936 1192420 1490525 1907872 2384840 2981050 4769680 5306269 5962100 9539360 10612538 11924200 21225076 23848400 26531345 42450152 47696800 53062690 84900304 106125380 132656725 169800608 212250760 265313450 424501520 530626900 849003040 1061253800 2122507600 4245015200