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745290000 = 24325472132
BaseRepresentation
bin101100011011000…
…011100100010000
31220221101122200100
4230123003210100
53011243240000
6201542052400
724316601100
oct5433034420
91827348610
10745290000
11352773454
1218971a100
13bb538a00
1470da7200
154566ba00
hex2c6c3910

745290000 has 675 divisors, whose sum is σ = 3283084233. Its totient is φ = 157248000.

The previous prime is 745289983. The next prime is 745290017. The reversal of 745290000 is 92547.

The square root of 745290000 is 27300.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (745289983) and next prime (745290017).

It can be written as a sum of positive squares in 7 ways, for example, as 736145424 + 9144576 = 27132^2 + 3024^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 57329994 + ... + 57330006.

Almost surely, 2745290000 is an apocalyptic number.

745290000 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

745290000 is the 27300-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 745290000

745290000 is an abundant number, since it is smaller than the sum of its proper divisors (2537794233).

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

745290000 is a wasteful number, since it uses less digits than its factorization.

745290000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The cubic root of 745290000 is about 906.6543815617.

The spelling of 745290000 in words is "seven hundred forty-five million, two hundred ninety thousand".