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5746656 = 253311931
BaseRepresentation
bin10101111010111111100000
3101210221221010
4111322333200
52432343111
6323100520
766563046
oct25727740
911727833
105746656
113275603
121b11740
1312628b6
14a98396
15787aa6
hex57afe0

5746656 has 48 divisors (see below), whose sum is σ = 15579648. Its totient is φ = 1852800.

The previous prime is 5746651. The next prime is 5746673. The reversal of 5746656 is 6566475.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×57466563 (a number of 21 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5746651) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2011 + ... + 3941.

It is an arithmetic number, because the mean of its divisors is an integer number (324576).

Almost surely, 25746656 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 5746656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7789824).

5746656 is an abundant number, since it is smaller than the sum of its proper divisors (9832992).

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

5746656 is a wasteful number, since it uses less digits than its factorization.

5746656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1975 (or 1967 counting only the distinct ones).

The product of its digits is 151200, while the sum is 39.

The square root of 5746656 is about 2397.2183880489. The cubic root of 5746656 is about 179.1176572159.

The spelling of 5746656 in words is "five million, seven hundred forty-six thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 372 496 744 992 1488 1931 2976 3862 5793 7724 11586 15448 23172 30896 46344 59861 61792 92688 119722 179583 185376 239444 359166 478888 718332 957776 1436664 1915552 2873328 5746656