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84525012 = 223311132421
BaseRepresentation
bin1010000100110…
…11111111010100
312220001022112000
411002123333110
5133114300022
612215355300
72044310415
oct502337724
9186038460
1084525012
1143791990
1224382b30
1314685c00
14b32380c
1576496ac
hex509bfd4

84525012 has 144 divisors (see below), whose sum is σ = 259479360. Its totient is φ = 23587200.

The previous prime is 84525011. The next prime is 84525013. The reversal of 84525012 is 21052548.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (84525011) and next prime (84525013).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84525011) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 200562 + ... + 200982.

It is an arithmetic number, because the mean of its divisors is an integer number (1801940).

Almost surely, 284525012 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 84525012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129739680).

84525012 is an abundant number, since it is smaller than the sum of its proper divisors (174954348).

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

84525012 is a wasteful number, since it uses less digits than its factorization.

84525012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 84525012 is about 9193.7485282120. The cubic root of 84525012 is about 438.8624403178.

The spelling of 84525012 in words is "eighty-four million, five hundred twenty-five thousand, twelve".

Divisors: 1 2 3 4 6 9 11 12 13 18 22 26 27 33 36 39 44 52 54 66 78 99 108 117 132 143 156 169 198 234 286 297 338 351 396 421 429 468 507 572 594 676 702 842 858 1014 1188 1263 1287 1404 1521 1684 1716 1859 2028 2526 2574 3042 3718 3789 3861 4563 4631 5052 5148 5473 5577 6084 7436 7578 7722 9126 9262 10946 11154 11367 13893 15156 15444 16419 16731 18252 18524 21892 22308 22734 27786 32838 33462 41679 45468 49257 50193 55572 60203 65676 66924 71149 83358 98514 100386 120406 125037 142298 147771 166716 180609 197028 200772 213447 240812 250074 284596 295542 361218 426894 500148 541827 591084 640341 722436 782639 853788 1083654 1280682 1565278 1625481 1921023 2167308 2347917 2561364 3130556 3250962 3842046 4695834 6501924 7043751 7684092 9391668 14087502 21131253 28175004 42262506 84525012