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8528416 = 251321983
BaseRepresentation
bin100000100010…
…001000100000
3121001021210021
4200202020200
54140402131
6502443224
7132330121
oct40421040
917037707
108528416
1148a5586
122a33514
1319c7b00
1411c0048
15b36e11
hex822220

8528416 has 72 divisors (see below), whose sum is σ = 19368720. Its totient is φ = 3684096.

The previous prime is 8528411. The next prime is 8528417. The reversal of 8528416 is 6148258.

It is an Ulam number.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (8528411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 102711 + ... + 102793.

It is an arithmetic number, because the mean of its divisors is an integer number (269010).

Almost surely, 28528416 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 8528416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9684360).

8528416 is an abundant number, since it is smaller than the sum of its proper divisors (10840304).

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

8528416 is a wasteful number, since it uses less digits than its factorization.

8528416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 117 counting only the distinct ones).

The product of its digits is 15360, while the sum is 34.

The square root of 8528416 is about 2920.3451850766. The cubic root of 8528416 is about 204.3099223575.

The spelling of 8528416 in words is "eight million, five hundred twenty-eight thousand, four hundred sixteen".

Divisors: 1 2 4 8 13 16 19 26 32 38 52 76 83 104 152 166 169 208 247 304 332 338 416 494 608 664 676 988 1079 1328 1352 1577 1976 2158 2656 2704 3154 3211 3952 4316 5408 6308 6422 7904 8632 12616 12844 14027 17264 20501 25232 25688 28054 34528 41002 50464 51376 56108 82004 102752 112216 164008 224432 266513 328016 448864 533026 656032 1066052 2132104 4264208 8528416