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85622784 = 21531367
BaseRepresentation
bin1010001101010…
…00000000000000
312222010002101020
411012220000000
5133404412114
612255105440
72056532052
oct506500000
9188102336
1085622784
1144371735
1224812280
131497b790
14b52b8d2
1577b4aa9
hex51a8000

85622784 has 128 divisors (see below), whose sum is σ = 249557280. Its totient is φ = 25952256.

The previous prime is 85622783. The next prime is 85622809. The reversal of 85622784 is 48722658.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×856227842 = 14662522279821312, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85622783) 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, 1277919 + ... + 1277985.

Almost surely, 285622784 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 85622784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124778640).

85622784 is an abundant number, since it is smaller than the sum of its proper divisors (163934496).

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

85622784 is an equidigital number, since it uses as much as digits as its factorization.

85622784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 85 counting only the distinct ones).

The product of its digits is 215040, while the sum is 42.

The square root of 85622784 is about 9253.2580208270. The cubic root of 85622784 is about 440.7541886267.

The spelling of 85622784 in words is "eighty-five million, six hundred twenty-two thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 67 78 96 104 128 134 156 192 201 208 256 268 312 384 402 416 512 536 624 768 804 832 871 1024 1072 1248 1536 1608 1664 1742 2048 2144 2496 2613 3072 3216 3328 3484 4096 4288 4992 5226 6144 6432 6656 6968 8192 8576 9984 10452 12288 12864 13312 13936 16384 17152 19968 20904 24576 25728 26624 27872 32768 34304 39936 41808 49152 51456 53248 55744 68608 79872 83616 98304 102912 106496 111488 137216 159744 167232 205824 212992 222976 274432 319488 334464 411648 425984 445952 548864 638976 668928 823296 891904 1097728 1277952 1337856 1646592 1783808 2195456 2675712 3293184 3567616 5351424 6586368 7135232 10702848 14270464 21405696 28540928 42811392 85622784