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84674208 = 2531316733
BaseRepresentation
bin1010000110000…
…00011010100000
312220022220011210
411003000122200
5133134033313
612222510120
72045501403
oct503003240
9186286153
1084674208
1143883a93
1224435340
1314708aa8
14b361d3a
1576789c3
hex50c06a0

84674208 has 48 divisors (see below), whose sum is σ = 223999776. Its totient is φ = 28005120.

The previous prime is 84674189. The next prime is 84674209. The reversal of 84674208 is 80247648.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (84674209) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9210 + ... + 15942.

It is an arithmetic number, because the mean of its divisors is an integer number (4666662).

Almost surely, 284674208 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 84674208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111999888).

84674208 is an abundant number, since it is smaller than the sum of its proper divisors (139325568).

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

84674208 is a wasteful number, since it uses less digits than its factorization.

84674208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6877 (or 6869 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 39.

The square root of 84674208 is about 9201.8589426268. The cubic root of 84674208 is about 439.1205021325.

The spelling of 84674208 in words is "eighty-four million, six hundred seventy-four thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 131 262 393 524 786 1048 1572 2096 3144 4192 6288 6733 12576 13466 20199 26932 40398 53864 80796 107728 161592 215456 323184 646368 882023 1764046 2646069 3528092 5292138 7056184 10584276 14112368 21168552 28224736 42337104 84674208