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5760072552 = 2331331219211
BaseRepresentation
bin1010101110101001…
…11011101101101000
3112212102121000002110
411113110323231220
543244034310202
62351322202320
7262511544303
oct52724735550
915772530073
105760072552
112496457843
1211490533a0
1370a471c70
143c8dd5b3a
1523aa4326c
hex15753bb68

5760072552 has 96 divisors (see below), whose sum is σ = 16025113440. Its totient is φ = 1715068800.

The previous prime is 5760072533. The next prime is 5760072557. The reversal of 5760072552 is 2552700675.

It is a super-3 number, since 3×57600725523 (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 5760072552.

It is not an unprimeable number, because it can be changed into a prime (5760072557) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 290227 + ... + 309437.

It is an arithmetic number, because the mean of its divisors is an integer number (166928265).

Almost surely, 25760072552 is an apocalyptic number.

5760072552 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5760072552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8012556720).

5760072552 is an abundant number, since it is smaller than the sum of its proper divisors (10265040888).

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

5760072552 is a wasteful number, since it uses less digits than its factorization.

5760072552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19295 (or 19260 counting only the distinct ones).

The product of its (nonzero) digits is 147000, while the sum is 39.

The square root of 5760072552 is about 75895.1418208043. The cubic root of 5760072552 is about 1792.5694248616.

The spelling of 5760072552 in words is "five billion, seven hundred sixty million, seventy-two thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 31 39 52 62 78 93 104 124 156 186 248 312 372 403 744 806 961 1209 1612 1922 2418 2883 3224 3844 4836 5766 7688 9672 11532 12493 19211 23064 24986 37479 38422 49972 57633 74958 76844 99944 115266 149916 153688 230532 249743 299832 461064 499486 595541 749229 998972 1191082 1498458 1786623 1997944 2382164 2996916 3573246 4764328 5993832 7146492 7742033 14292984 15484066 18461771 23226099 30968132 36923542 46452198 55385313 61936264 73847084 92904396 110770626 147694168 185808792 221541252 240003023 443082504 480006046 720009069 960012092 1440018138 1920024184 2880036276 5760072552