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5758228032 = 263174913593
BaseRepresentation
bin1010101110011011…
…11001011001000000
3112212022010021212220
411113031321121000
543243101244112
62351214451040
7262460062554
oct52715713100
915768107786
105758228032
112495407a47
121148503a80
13709c7752b
143c8a75864
1523a7cb98c
hex157379640

5758228032 has 112 divisors (see below), whose sum is σ = 16168859712. Its totient is φ = 1802321920.

The previous prime is 5758227991. The next prime is 5758228037. The reversal of 5758228032 is 2308228575.

It is not an unprimeable number, because it can be changed into a prime (5758228037) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1600828 + ... + 1604420.

Almost surely, 25758228032 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 5758228032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8084429856).

5758228032 is an abundant number, since it is smaller than the sum of its proper divisors (10410631680).

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

5758228032 is a wasteful number, since it uses less digits than its factorization.

5758228032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4116 (or 4106 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 42.

The square root of 5758228032 is about 75882.9890818753. The cubic root of 5758228032 is about 1792.3780625062.

The spelling of 5758228032 in words is "five billion, seven hundred fifty-eight million, two hundred twenty-eight thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 136 192 204 272 408 491 544 816 982 1088 1473 1632 1964 2946 3264 3593 3928 5892 7186 7856 8347 10779 11784 14372 15712 16694 21558 23568 25041 28744 31424 33388 43116 47136 50082 57488 61081 66776 86232 94272 100164 114976 122162 133552 172464 183243 200328 229952 244324 267104 344928 366486 400656 488648 534208 689856 732972 801312 977296 1465944 1602624 1764163 1954592 2931888 3528326 3909184 5292489 5863776 7056652 10584978 11727552 14113304 21169956 28226608 29990771 42339912 56453216 59981542 84679824 89972313 112906432 119963084 169359648 179944626 239926168 338719296 359889252 479852336 719778504 959704672 1439557008 1919409344 2879114016 5758228032