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5762745240 = 2335715314481
BaseRepresentation
bin1010101110111110…
…01000001110011000
3112212121121210022220
411113133020032120
543300230321430
62351455344040
7262543345350
oct52737101630
915777553286
105762745240
112497a1287a
121149b22020
1370ab99635
143c94cdb60
1523adc0110
hex1577c8398

5762745240 has 128 divisors (see below), whose sum is σ = 19775301120. Its totient is φ = 1316044800.

The previous prime is 5762745211. The next prime is 5762745253. The reversal of 5762745240 is 425472675.

It is a super-2 number, since 2×57627452402 = 66418465402285315200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 5762745192 and 5762745201.

It is a congruent number.

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, 1283800 + ... + 1288280.

It is an arithmetic number, because the mean of its divisors is an integer number (154494540).

Almost surely, 25762745240 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 5762745240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9887650560).

5762745240 is an abundant number, since it is smaller than the sum of its proper divisors (14012555880).

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

5762745240 is a wasteful number, since it uses less digits than its factorization.

5762745240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6033 (or 6029 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 42.

The square root of 5762745240 is about 75912.7475461138. The cubic root of 5762745240 is about 1792.8466342156.

The spelling of 5762745240 in words is "five billion, seven hundred sixty-two million, seven hundred forty-five thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 1531 3062 4481 4593 6124 7655 8962 9186 10717 12248 13443 15310 17924 18372 21434 22405 22965 26886 30620 31367 32151 35848 36744 42868 44810 45930 53585 53772 61240 62734 64302 67215 85736 89620 91860 94101 107170 107544 125468 128604 134430 156835 160755 179240 183720 188202 214340 250936 257208 268860 313670 321510 376404 428680 470505 537720 627340 643020 752808 941010 1254680 1286040 1882020 3764040 6860411 13720822 20581233 27441644 34302055 41162466 48022877 54883288 68604110 82324932 96045754 102906165 137208220 144068631 164649864 192091508 205812330 240114385 274416440 288137262 384183016 411624660 480228770 576274524 720343155 823249320 960457540 1152549048 1440686310 1920915080 2881372620 5762745240