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84210048 = 2732135623
BaseRepresentation
bin1010000010011…
…11000110000000
312212110022110200
411001033012000
5133024210143
612204525200
72041526226
oct501170600
9185408420
1084210048
114359728a
1224250800
13145a5740
14b280b16
1575d61d3
hex504f180

84210048 has 96 divisors (see below), whose sum is σ = 261009840. Its totient is φ = 25906176.

The previous prime is 84210037. The next prime is 84210053. The reversal of 84210048 is 84001248.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12165 + ... + 17787.

Almost surely, 284210048 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 84210048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130504920).

84210048 is an abundant number, since it is smaller than the sum of its proper divisors (176799792).

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

84210048 is a wasteful number, since it uses less digits than its factorization.

84210048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5656 (or 5641 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 84210048 is about 9176.6032931581. The cubic root of 84210048 is about 438.3166534862.

The spelling of 84210048 in words is "eighty-four million, two hundred ten thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 288 312 384 416 468 576 624 832 936 1152 1248 1664 1872 2496 3744 4992 5623 7488 11246 14976 16869 22492 33738 44984 50607 67476 73099 89968 101214 134952 146198 179936 202428 219297 269904 292396 359872 404856 438594 539808 584792 657891 719744 809712 877188 1079616 1169584 1315782 1619424 1754376 2159232 2339168 2631564 3238848 3508752 4678336 5263128 6477696 7017504 9356672 10526256 14035008 21052512 28070016 42105024 84210048