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5754822624 = 253279252937
BaseRepresentation
bin1010101110000001…
…11001111111100000
3112212001201021112200
411113000321333200
543241213310444
62351013453200
7262416120345
oct52700717740
915761637480
105754822624
1124934a1461
121147341200
137093544b5
143c842a7cc
1523a357969
hex157039fe0

5754822624 has 72 divisors (see below), whose sum is σ = 16572497760. Its totient is φ = 1893984768.

The previous prime is 5754822599. The next prime is 5754822629. The reversal of 5754822624 is 4262284575.

It is a tau number, because it is divible by the number of its divisors (72).

It is a self number, because there is not a number n which added to its sum of digits gives 5754822624.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5754822629) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 103717 + ... + 149220.

It is an arithmetic number, because the mean of its divisors is an integer number (230173580).

Almost surely, 25754822624 is an apocalyptic number.

It is an amenable number.

5754822624 is an abundant number, since it is smaller than the sum of its proper divisors (10817675136).

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

5754822624 is a wasteful number, since it uses less digits than its factorization.

5754822624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253032 (or 253021 counting only the distinct ones).

The product of its digits is 1075200, while the sum is 45.

The square root of 5754822624 is about 75860.5472165868. The cubic root of 5754822624 is about 1792.0246562031.

The spelling of 5754822624 in words is "five billion, seven hundred fifty-four million, eight hundred twenty-two thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 79 96 144 158 237 288 316 474 632 711 948 1264 1422 1896 2528 2844 3792 5688 7584 11376 22752 252937 505874 758811 1011748 1517622 2023496 2276433 3035244 4046992 4552866 6070488 8093984 9105732 12140976 18211464 19982023 24281952 36422928 39964046 59946069 72845856 79928092 119892138 159856184 179838207 239784276 319712368 359676414 479568552 639424736 719352828 959137104 1438705656 1918274208 2877411312 5754822624