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5694242400 = 25325271110271
BaseRepresentation
bin1010100110110011…
…10011111001100000
3112200211201111002200
411103121303321200
543130211224100
62341011213200
7261052155540
oct52331637140
915624644080
105694242400
112462284660
12112aba7200
136c9933402
143c037b320
15234d8ce00
hex153673e60

5694242400 has 432 divisors, whose sum is σ = 25036397568. Its totient is φ = 1183104000.

The previous prime is 5694242383. The next prime is 5694242419. The reversal of 5694242400 is 42424965.

5694242400 is a `hidden beast` number, since 5 + 6 + 9 + 4 + 242 + 400 = 666.

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

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 71 ways as a sum of consecutive naturals, for example, 549265 + ... + 559535.

It is an arithmetic number, because the mean of its divisors is an integer number (57954624).

Almost surely, 25694242400 is an apocalyptic number.

5694242400 is a gapful number since it is divisible by the number (50) 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 5694242400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12518198784).

5694242400 is an abundant number, since it is smaller than the sum of its proper divisors (19342155168).

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

5694242400 is a wasteful number, since it uses less digits than its factorization.

5694242400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10315 (or 10299 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 5694242400 is about 75460.2040813567. The cubic root of 5694242400 is about 1785.7143293562.

The spelling of 5694242400 in words is "five billion, six hundred ninety-four million, two hundred forty-two thousand, four hundred".