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5524428528 = 2433172812677
BaseRepresentation
bin1010010010100100…
…00001011011110000
3112021000012001021000
411021102001123300
542303223203103
62312103402000
7253620603423
oct51122013360
915230161230
105524428528
112385439a13
1210a2153300
136a06b7a28
143a59b59ba
15224ee7aa3
hex1494816f0

5524428528 has 160 divisors (see below), whose sum is σ = 16855974720. Its totient is φ = 1726341120.

The previous prime is 5524428527. The next prime is 5524428571. The reversal of 5524428528 is 8258244255.

5524428528 is a `hidden beast` number, since 5 + 524 + 42 + 85 + 2 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5524428527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2062326 + ... + 2065002.

It is an arithmetic number, because the mean of its divisors is an integer number (105349842).

Almost surely, 25524428528 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 5524428528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8427987360).

5524428528 is an abundant number, since it is smaller than the sum of its proper divisors (11331546192).

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

5524428528 is a wasteful number, since it uses less digits than its factorization.

5524428528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2992 (or 2980 counting only the distinct ones).

The product of its digits is 1024000, while the sum is 45.

The square root of 5524428528 is about 74326.4995005146. The cubic root of 5524428528 is about 1767.7836781393.

The spelling of 5524428528 in words is "five billion, five hundred twenty-four million, four hundred twenty-eight thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 48 51 54 68 72 102 108 136 144 153 204 216 272 281 306 408 432 459 562 612 816 843 918 1124 1224 1686 1836 2248 2448 2529 2677 3372 3672 4496 4777 5058 5354 6744 7344 7587 8031 9554 10116 10708 13488 14331 15174 16062 19108 20232 21416 24093 28662 30348 32124 38216 40464 42832 42993 45509 48186 57324 60696 64248 72279 76432 85986 91018 96372 114648 121392 128496 128979 136527 144558 171972 182036 192744 229296 257958 273054 289116 343944 364072 385488 409581 515916 546108 578232 687888 728144 752237 819162 1031832 1092216 1156464 1228743 1504474 1638324 2063664 2184432 2256711 2457486 3008948 3276648 4513422 4914972 6017896 6553296 6770133 9026844 9829944 12035792 12788029 13540266 18053688 19659888 20310399 25576058 27080532 36107376 38364087 40620798 51152116 54161064 76728174 81241596 102304232 108322128 115092261 153456348 162483192 204608464 230184522 306912696 324966384 345276783 460369044 613825392 690553566 920738088 1381107132 1841476176 2762214264 5524428528