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84135424 = 291011627
BaseRepresentation
bin1010000001111…
…00111000000000
312212022112002211
411000330320000
5133014313144
612203151504
72041065532
oct500747000
9185275084
1084135424
114354620a
1224215594
131457a799
14b261852
1575be034
hex503ce00

84135424 has 40 divisors (see below), whose sum is σ = 169875288. Its totient is φ = 41625600.

The previous prime is 84135421. The next prime is 84135427. The reversal of 84135424 is 42453148.

It is an interprime number because it is at equal distance from previous prime (84135421) and next prime (84135427).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84135421) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 50899 + ... + 52525.

Almost surely, 284135424 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 84135424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84937644).

84135424 is an abundant number, since it is smaller than the sum of its proper divisors (85739864).

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

84135424 is a wasteful number, since it uses less digits than its factorization.

84135424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1746 (or 1730 counting only the distinct ones).

The product of its digits is 15360, while the sum is 31.

The square root of 84135424 is about 9172.5363994917. The cubic root of 84135424 is about 438.1871415917.

The spelling of 84135424 in words is "eighty-four million, one hundred thirty-five thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 32 64 101 128 202 256 404 512 808 1616 1627 3232 3254 6464 6508 12928 13016 25856 26032 51712 52064 104128 164327 208256 328654 416512 657308 833024 1314616 2629232 5258464 10516928 21033856 42067712 84135424