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84483072 = 2103289103
BaseRepresentation
bin1010000100100…
…01110000000000
312212222011222200
411002101300000
5133111424242
612214433200
72044044222
oct502216000
9185864880
1084483072
1143763423
1224362800
131466caab
14b312412
15763c04c
hex5091c00

84483072 has 132 divisors (see below), whose sum is σ = 249078960. Its totient is φ = 27574272.

The previous prime is 84483059. The next prime is 84483073. The reversal of 84483072 is 27038448.

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 (84483073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 820173 + ... + 820275.

Almost surely, 284483072 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 84483072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124539480).

84483072 is an abundant number, since it is smaller than the sum of its proper divisors (164595888).

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

84483072 is a wasteful number, since it uses less digits than its factorization.

84483072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 84483072 is about 9191.4673474914. The cubic root of 84483072 is about 438.7898427304.

The spelling of 84483072 in words is "eighty-four million, four hundred eighty-three thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 89 96 103 128 144 178 192 206 256 267 288 309 356 384 412 512 534 576 618 712 768 801 824 927 1024 1068 1152 1236 1424 1536 1602 1648 1854 2136 2304 2472 2848 3072 3204 3296 3708 4272 4608 4944 5696 6408 6592 7416 8544 9167 9216 9888 11392 12816 13184 14832 17088 18334 19776 22784 25632 26368 27501 29664 34176 36668 39552 45568 51264 52736 55002 59328 68352 73336 79104 82503 91136 102528 105472 110004 118656 136704 146672 158208 165006 205056 220008 237312 273408 293344 316416 330012 410112 440016 474624 586688 660024 820224 880032 949248 1173376 1320048 1760064 2346752 2640096 3520128 4693504 5280192 7040256 9387008 10560384 14080512 21120768 28161024 42241536 84483072