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84525408 = 25321126681
BaseRepresentation
bin1010000100111…
…00000101100000
312220001100001200
411002130011200
5133114303113
612215401200
72044311522
oct502340540
9186040050
1084525408
1143792210
1224383200
1314686146
14b323a12
157649873
hex509c160

84525408 has 72 divisors (see below), whose sum is σ = 262230696. Its totient is φ = 25612800.

The previous prime is 84525403. The next prime is 84525409. The reversal of 84525408 is 80452548.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84525403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10173 + ... + 16508.

It is an arithmetic number, because the mean of its divisors is an integer number (3642093).

Almost surely, 284525408 is an apocalyptic number.

84525408 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

84525408 is an abundant number, since it is smaller than the sum of its proper divisors (177705288).

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

84525408 is a wasteful number, since it uses less digits than its factorization.

84525408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26708 (or 26697 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

The square root of 84525408 is about 9193.7700645600. The cubic root of 84525408 is about 438.8631256741.

It can be divided in two parts, 8452540 and 8, that added together give a palindrome (8452548).

The spelling of 84525408 in words is "eighty-four million, five hundred twenty-five thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 288 352 396 528 792 1056 1584 3168 26681 53362 80043 106724 160086 213448 240129 293491 320172 426896 480258 586982 640344 853792 880473 960516 1173964 1280688 1760946 1921032 2347928 2561376 2641419 3521892 3842064 4695856 5282838 7043784 7684128 9391712 10565676 14087568 21131352 28175136 42262704 84525408