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84284244 = 22321131759
BaseRepresentation
bin1010000011000…
…01001101010100
312212121002020200
411001201031110
5133034043434
612210300500
72042255442
oct501411524
9185532220
1084284244
1143638000
1224287730
1314600445
14b29db92
1575ed199
hex5061354

84284244 has 72 divisors (see below), whose sum is σ = 234474240. Its totient is φ = 25526160.

The previous prime is 84284243. The next prime is 84284251. The reversal of 84284244 is 44248248.

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

It is a junction number, because it is equal to n+sod(n) for n = 84284199 and 84284208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84284243) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47037 + ... + 48795.

Almost surely, 284284244 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 84284244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117237120).

84284244 is an abundant number, since it is smaller than the sum of its proper divisors (150189996).

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

84284244 is a wasteful number, since it uses less digits than its factorization.

84284244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1802 (or 1775 counting only the distinct ones).

The product of its digits is 65536, while the sum is 36.

The square root of 84284244 is about 9180.6450753746. The cubic root of 84284244 is about 438.4453467421.

The spelling of 84284244 in words is "eighty-four million, two hundred eighty-four thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 121 132 198 242 363 396 484 726 1089 1331 1452 1759 2178 2662 3518 3993 4356 5277 5324 7036 7986 10554 11979 15831 15972 19349 21108 23958 31662 38698 47916 58047 63324 77396 116094 174141 212839 232188 348282 425678 638517 696564 851356 1277034 1915551 2341229 2554068 3831102 4682458 7023687 7662204 9364916 14047374 21071061 28094748 42142122 84284244