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5758272 = 263213769
BaseRepresentation
bin10101111101110101000000
3101211112212100
4111331311000
52433231042
6323230400
766641652
oct25756500
911745770
105758272
113283303
121b18400
131267c80
14a9c6d2
1578b24c
hex57dd40

5758272 has 84 divisors (see below), whose sum is σ = 17797780. Its totient is φ = 1769472.

The previous prime is 5758267. The next prime is 5758279. The reversal of 5758272 is 2728575.

5758272 is a `hidden beast` number, since 5 + 7 + 582 + 72 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1498176 + 4260096 = 1224^2 + 2064^2 .

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

Its product of digits (39200) is a multiple of the sum of its prime factors (800).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5758279) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7104 + ... + 7872.

Almost surely, 25758272 is an apocalyptic number.

5758272 is a gapful number since it is divisible by the number (52) 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 5758272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8898890).

5758272 is an abundant number, since it is smaller than the sum of its proper divisors (12039508).

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

5758272 is a wasteful number, since it uses less digits than its factorization.

5758272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 800 (or 787 counting only the distinct ones).

The product of its digits is 39200, while the sum is 36.

The square root of 5758272 is about 2399.6399729959. The cubic root of 5758272 is about 179.2382624504.

The spelling of 5758272 in words is "five million, seven hundred fifty-eight thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 144 156 192 208 234 288 312 416 468 576 624 769 832 936 1248 1538 1872 2307 2496 3076 3744 4614 6152 6921 7488 9228 9997 12304 13842 18456 19994 24608 27684 29991 36912 39988 49216 55368 59982 73824 79976 89973 110736 119964 147648 159952 179946 221472 239928 319904 359892 442944 479856 639808 719784 959712 1439568 1919424 2879136 5758272