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4250245824 = 263311317213
BaseRepresentation
bin1111110101010101…
…1001101011000000
3101222012120212012000
43331111121223000
532201030331244
61541425304000
7210216331146
oct37525315300
911865525160
104250245824
111891175660
129a7495000
1352971bc76
142c4695596
1519d207169
hexfd559ac0

4250245824 has 224 divisors, whose sum is σ = 14072494080. Its totient is φ = 1246233600.

The previous prime is 4250245789. The next prime is 4250245841. The reversal of 4250245824 is 4285420524.

4250245824 is a `hidden beast` number, since 4 + 2 + 50 + 24 + 582 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 585642 + ... + 592854.

Almost surely, 24250245824 is an apocalyptic number.

4250245824 is a gapful number since it is divisible by the number (44) 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 4250245824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7036247040).

4250245824 is an abundant number, since it is smaller than the sum of its proper divisors (9822248256).

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

4250245824 is a wasteful number, since it uses less digits than its factorization.

4250245824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7276 (or 7260 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 36.

The square root of 4250245824 is about 65193.9094087784. The cubic root of 4250245824 is about 1619.8371304026.

The spelling of 4250245824 in words is "four billion, two hundred fifty million, two hundred forty-five thousand, eight hundred twenty-four".