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5526085032 = 233413250461
BaseRepresentation
bin1010010010110000…
…10101110110101000
3112021010022012120000
411021120111312220
542304134210112
62312203103000
7253640643036
oct51130256650
915233265500
105526085032
112386370526
1210a2811a60
136a0b47a00
143a5cc7556
152252237dc
hex149615da8

5526085032 has 120 divisors (see below), whose sum is σ = 16760700990. Its totient is φ = 1700300160.

The previous prime is 5526085007. The next prime is 5526085043. The reversal of 5526085032 is 2305806255.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 3686189796 + 1839895236 = 60714^2 + 42894^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 84282 + ... + 134742.

Almost surely, 25526085032 is an apocalyptic number.

5526085032 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 5526085032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8380350495).

5526085032 is an abundant number, since it is smaller than the sum of its proper divisors (11234615958).

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

5526085032 is a wasteful number, since it uses less digits than its factorization.

5526085032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50505 (or 50479 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 5526085032 is about 74337.6420933567. The cubic root of 5526085032 is about 1767.9603508986.

The spelling of 5526085032 in words is "five billion, five hundred twenty-six million, eighty-five thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 81 104 108 117 156 162 169 216 234 312 324 338 351 468 507 648 676 702 936 1014 1053 1352 1404 1521 2028 2106 2808 3042 4056 4212 4563 6084 8424 9126 12168 13689 18252 27378 36504 50461 54756 100922 109512 151383 201844 302766 403688 454149 605532 655993 908298 1211064 1311986 1362447 1816596 1967979 2623972 2724894 3633192 3935958 4087341 5247944 5449788 5903937 7871916 8174682 8527909 10899576 11807874 15743832 16349364 17055818 17711811 23615748 25583727 32698728 34111636 35423622 47231496 51167454 53135433 68223272 70847244 76751181 102334908 106270866 141694488 153502362 204669816 212541732 230253543 307004724 425083464 460507086 614009448 690760629 921014172 1381521258 1842028344 2763042516 5526085032