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84952332 = 2232171271093
BaseRepresentation
bin1010001000001…
…00010100001100
312220212000200200
411010010110030
5133221433312
612232453500
72051040303
oct504042414
9186760620
1084952332
1143a53a43
122454a290
13147a556a
14b3d543a
1576d10dc
hex510450c

84952332 has 72 divisors (see below), whose sum is σ = 229372416. Its totient is φ = 26417664.

The previous prime is 84952313. The next prime is 84952367. The reversal of 84952332 is 23325948.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 77178 + ... + 78270.

It is an arithmetic number, because the mean of its divisors is an integer number (3185728).

Almost surely, 284952332 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 84952332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114686208).

84952332 is an abundant number, since it is smaller than the sum of its proper divisors (144420084).

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

84952332 is a wasteful number, since it uses less digits than its factorization.

84952332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1247 (or 1242 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 84952332 is about 9216.9589344859. The cubic root of 84952332 is about 439.6007604440.

The spelling of 84952332 in words is "eighty-four million, nine hundred fifty-two thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 127 153 204 254 306 381 508 612 762 1093 1143 1524 2159 2186 2286 3279 4318 4372 4572 6477 6558 8636 9837 12954 13116 18581 19431 19674 25908 37162 38862 39348 55743 74324 77724 111486 138811 167229 222972 277622 334458 416433 555244 668916 832866 1249299 1665732 2359787 2498598 4719574 4997196 7079361 9439148 14158722 21238083 28317444 42476166 84952332