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5756309442 = 2331373112327
BaseRepresentation
bin1010101110001101…
…00100111111000010
3112212011111211002000
411113012210333002
543242103400232
62351105404430
7262434552162
oct52706447702
915764454060
105756309442
112494317534
121147939716
13709755180
143c86d65a2
1523a54d27c
hex1571a4fc2

5756309442 has 64 divisors (see below), whose sum is σ = 13964616960. Its totient is φ = 1746893952.

The previous prime is 5756309437. The next prime is 5756309459. The reversal of 5756309442 is 2449036575.

5756309442 is a `hidden beast` number, since 5 + 7 + 5 + 630 + 9 + 4 + 4 + 2 = 666.

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 31 ways as a sum of consecutive naturals, for example, 4918 + ... + 107409.

It is an arithmetic number, because the mean of its divisors is an integer number (218197140).

Almost surely, 25756309442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5756309442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6982308480).

5756309442 is an abundant number, since it is smaller than the sum of its proper divisors (8208307518).

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

5756309442 is a wasteful number, since it uses less digits than its factorization.

5756309442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112424 (or 112418 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The square root of 5756309442 is about 75870.3462625550. The cubic root of 5756309442 is about 1792.1789722879.

The spelling of 5756309442 in words is "five billion, seven hundred fifty-six million, three hundred nine thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 73 78 117 146 219 234 351 438 657 702 949 1314 1898 1971 2847 3942 5694 8541 17082 25623 51246 112327 224654 336981 673962 1010943 1460251 2021886 2920502 3032829 4380753 6065658 8199871 8761506 13142259 16399742 24599613 26284518 39426777 49199226 73798839 78853554 106598323 147597678 213196646 221396517 319794969 442793034 639589938 959384907 1918769814 2878154721 5756309442