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3985175520 = 25325191131289
BaseRepresentation
bin1110110110001000…
…1111001111100000
3101021201210220002100
43231202033033200
531130201104040
61455240050400
7200520301344
oct35542171740
911251726070
103985175520
111765589397
12932763a00
134b6830c31
1429b3b5624
15184ce7b30
hexed88f3e0

3985175520 has 288 divisors, whose sum is σ = 14453056800. Its totient is φ = 997097472.

The previous prime is 3985175503. The next prime is 3985175549. The reversal of 3985175520 is 255715893.

3985175520 is a `hidden beast` number, since 3 + 9 + 8 + 51 + 75 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 3091036 + ... + 3092324.

It is an arithmetic number, because the mean of its divisors is an integer number (50184225).

Almost surely, 23985175520 is an apocalyptic number.

3985175520 is a gapful number since it is divisible by the number (30) 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 3985175520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7226528400).

3985175520 is an abundant number, since it is smaller than the sum of its proper divisors (10467881280).

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

3985175520 is a wasteful number, since it uses less digits than its factorization.

3985175520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1442 (or 1431 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 45.

The square root of 3985175520 is about 63128.2466095804. The cubic root of 3985175520 is about 1585.4375914311.

The spelling of 3985175520 in words is "three billion, nine hundred eighty-five million, one hundred seventy-five thousand, five hundred twenty".