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84155148 = 223272114337
BaseRepresentation
bin1010000010000…
…01101100001100
312212100112011100
411001001230030
5133020431043
612203423100
72041210200
oct501015414
9185315140
1084155148
114355a010
1224224a90
131458675c
14b268b00
1575c4cd3
hex5041b0c

84155148 has 108 divisors (see below), whose sum is σ = 270014472. Its totient is φ = 21853440.

The previous prime is 84155143. The next prime is 84155209.

84155148 is nontrivially palindromic in base 10.

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

It is not an unprimeable number, because it can be changed into a prime (84155143) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 17236 + ... + 21572.

It is an arithmetic number, because the mean of its divisors is an integer number (2500134).

Almost surely, 284155148 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 84155148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135007236).

84155148 is an abundant number, since it is smaller than the sum of its proper divisors (185859324).

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

84155148 is a wasteful number, since it uses less digits than its factorization.

84155148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4372 (or 4360 counting only the distinct ones).

The product of its digits is 25600, while the sum is 36.

The square root of 84155148 is about 9173.6115025654. The cubic root of 84155148 is about 438.2213805503.

The spelling of 84155148 in words is "eighty-four million, one hundred fifty-five thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 49 63 66 77 84 98 99 126 132 147 154 196 198 231 252 294 308 396 441 462 539 588 693 882 924 1078 1386 1617 1764 2156 2772 3234 4337 4851 6468 8674 9702 13011 17348 19404 26022 30359 39033 47707 52044 60718 78066 91077 95414 121436 143121 156132 182154 190828 212513 273231 286242 333949 364308 425026 429363 546462 572484 637539 667898 850052 858726 1001847 1092924 1275078 1335796 1717452 1912617 2003694 2337643 2550156 3005541 3825234 4007388 4675286 6011082 7012929 7650468 9350572 12022164 14025858 21038787 28051716 42077574 84155148