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84885152 = 25112391009
BaseRepresentation
bin1010000111100…
…11111010100000
312220201121112112
411003303322200
5133212311102
612231214452
72050340402
oct503637240
9186647475
1084885152
1143a08520
1224517428
1314780b01
14b3b8b72
1576bb252
hex50f3ea0

84885152 has 48 divisors (see below), whose sum is σ = 183254400. Its totient is φ = 38384640.

The previous prime is 84885113. The next prime is 84885169. The reversal of 84885152 is 25158848.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 83624 + ... + 84632.

It is an arithmetic number, because the mean of its divisors is an integer number (3817800).

Almost surely, 284885152 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 84885152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91627200).

84885152 is an abundant number, since it is smaller than the sum of its proper divisors (98369248).

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

84885152 is a wasteful number, since it uses less digits than its factorization.

84885152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1269 (or 1261 counting only the distinct ones).

The product of its digits is 102400, while the sum is 41.

The square root of 84885152 is about 9213.3138446489. The cubic root of 84885152 is about 439.4848516494.

The spelling of 84885152 in words is "eighty-four million, eight hundred eighty-five thousand, one hundred fifty-two".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 239 352 478 956 1009 1912 2018 2629 3824 4036 5258 7648 8072 10516 11099 16144 21032 22198 32288 42064 44396 84128 88792 177584 241151 355168 482302 964604 1929208 2652661 3858416 5305322 7716832 10610644 21221288 42442576 84885152