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852407248 = 247112312029
BaseRepresentation
bin110010110011101…
…011001111010000
32012101221202220211
4302303223033100
53221204012443
6220330013504
730060225220
oct6263531720
92171852824
10852407248
113a8186200
121b9577294
131077a1bb4
14812cc080
154ec7a19d
hex32ceb3d0

852407248 has 120 divisors (see below), whose sum is σ = 2142640640. Its totient is φ = 321235200.

The previous prime is 852407243. The next prime is 852407249. The reversal of 852407248 is 842704258.

It is a self number, because there is not a number n which added to its sum of digits gives 852407248.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (852407243) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 419098 + ... + 421126.

Almost surely, 2852407248 is an apocalyptic number.

852407248 is a gapful number since it is divisible by the number (88) 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 852407248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1071320320).

852407248 is an abundant number, since it is smaller than the sum of its proper divisors (1290233392).

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

852407248 is a wasteful number, since it uses less digits than its factorization.

852407248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2097 (or 2080 counting only the distinct ones).

The product of its (nonzero) digits is 143360, while the sum is 40.

The square root of 852407248 is about 29196.0142485237. The cubic root of 852407248 is about 948.1616333799.

The spelling of 852407248 in words is "eight hundred fifty-two million, four hundred seven thousand, two hundred forty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 31 44 56 62 77 88 112 121 124 154 176 217 242 248 308 341 434 484 496 616 682 847 868 968 1232 1364 1694 1736 1936 2029 2387 2728 3388 3472 3751 4058 4774 5456 6776 7502 8116 9548 13552 14203 15004 16232 19096 22319 26257 28406 30008 32464 38192 44638 52514 56812 60016 62899 89276 105028 113624 125798 156233 178552 210056 227248 245509 251596 312466 357104 420112 440293 491018 503192 624932 691889 880586 982036 1006384 1249864 1383778 1718563 1761172 1964072 2499728 2767556 3437126 3522344 3928144 4843223 5535112 6874252 7044688 7610779 9686446 11070224 13748504 15221558 19372892 27497008 30443116 38745784 53275453 60886232 77491568 106550906 121772464 213101812 426203624 852407248