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5697984 = 26359503
BaseRepresentation
bin10101101111000111000000
3101201111011110
4111233013000
52424313414
6322043320
766301125
oct25570700
911644143
105697984
113241a86
121aa9540
1312466b6
14a8474c
15778459
hex56f1c0

5697984 has 56 divisors (see below), whose sum is σ = 15361920. Its totient is φ = 1863424.

The previous prime is 5697983. The next prime is 5698003. The reversal of 5697984 is 4897965.

It is a Harshad number since it is a multiple of its sum of digits (48).

Its product of digits (544320) is a multiple of the sum of its prime divisors (567).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5697983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11077 + ... + 11579.

It is an arithmetic number, because the mean of its divisors is an integer number (274320).

Almost surely, 25697984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5697984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7680960).

5697984 is an abundant number, since it is smaller than the sum of its proper divisors (9663936).

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

5697984 is a wasteful number, since it uses less digits than its factorization.

5697984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 577 (or 567 counting only the distinct ones).

The product of its digits is 544320, while the sum is 48.

The square root of 5697984 is about 2387.0450351847. The cubic root of 5697984 is about 178.6105365622.

The spelling of 5697984 in words is "five million, six hundred ninety-seven thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 59 64 96 118 177 192 236 354 472 503 708 944 1006 1416 1509 1888 2012 2832 3018 3776 4024 5664 6036 8048 11328 12072 16096 24144 29677 32192 48288 59354 89031 96576 118708 178062 237416 356124 474832 712248 949664 1424496 1899328 2848992 5697984