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5758747540 = 22572132232027
BaseRepresentation
bin1010101110011111…
…11000001110010100
3112212100002200111221
411113033320032110
543243214410130
62351233540124
7262464355300
oct52717701624
915770080457
105758747540
112495732297
121148714644
1370a0c9b30
143c8b6cd00
1523a88087a
hex1573f8394

5758747540 has 144 divisors (see below), whose sum is σ = 15225380352. Its totient is φ = 1813480704.

The previous prime is 5758747531. The next prime is 5758747541. The reversal of 5758747540 is 457478575.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5758747541) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2840007 + ... + 2842033.

It is an arithmetic number, because the mean of its divisors is an integer number (105731808).

Almost surely, 25758747540 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 5758747540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7612690176).

5758747540 is an abundant number, since it is smaller than the sum of its proper divisors (9466632812).

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

5758747540 is a wasteful number, since it uses less digits than its factorization.

5758747540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2286 (or 2277 counting only the distinct ones).

The product of its (nonzero) digits is 5488000, while the sum is 52.

The square root of 5758747540 is about 75886.4120907030. The cubic root of 5758747540 is about 1792.4319637374.

The spelling of 5758747540 in words is "five billion, seven hundred fifty-eight million, seven hundred forty-seven thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 49 52 65 70 91 98 130 140 182 196 223 245 260 364 446 455 490 637 892 910 980 1115 1274 1561 1820 2027 2230 2548 2899 3122 3185 4054 4460 5798 6244 6370 7805 8108 10135 10927 11596 12740 14189 14495 15610 20270 20293 21854 26351 28378 28990 31220 40540 40586 43708 52702 54635 56756 57980 70945 81172 99323 101465 105404 109270 131755 141890 142051 184457 198646 202930 218540 263510 283780 284102 368914 397292 405860 452021 496615 527020 568204 710255 737828 904042 922285 993230 1291199 1420510 1808084 1844570 1986460 2260105 2582398 2841020 3164147 3689140 4520210 5164796 5876273 6328294 6455995 9040420 11752546 12656588 12911990 15820735 22149029 23505092 25823980 29381365 31641470 41133911 44298058 58762730 63282940 82267822 88596116 110745145 117525460 164535644 205669555 221490290 287937377 411339110 442980580 575874754 822678220 1151749508 1439686885 2879373770 5758747540