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84897072 = 2434135039
BaseRepresentation
bin1010000111101…
…10110100110000
312220202012220000
411003312310300
5133213201242
612231350000
72050420221
oct503666460
9186665800
1084897072
1143a16477
1224522300
1314786370
14b3bd248
1576bea4c
hex50f6d30

84897072 has 100 divisors (see below), whose sum is σ = 264670560. Its totient is φ = 26116992.

The previous prime is 84897049. The next prime is 84897077. The reversal of 84897072 is 27079848.

It is not an unprimeable number, because it can be changed into a prime (84897077) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 14329 + ... + 19367.

Almost surely, 284897072 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 84897072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132335280).

84897072 is an abundant number, since it is smaller than the sum of its proper divisors (179773488).

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

84897072 is a wasteful number, since it uses less digits than its factorization.

84897072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5072 (or 5057 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 84897072 is about 9213.9607118763. The cubic root of 84897072 is about 439.5054222444.

The spelling of 84897072 in words is "eighty-four million, eight hundred ninety-seven thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 81 104 108 117 144 156 162 208 216 234 312 324 351 432 468 624 648 702 936 1053 1296 1404 1872 2106 2808 4212 5039 5616 8424 10078 15117 16848 20156 30234 40312 45351 60468 65507 80624 90702 120936 131014 136053 181404 196521 241872 262028 272106 362808 393042 408159 524056 544212 589563 725616 786084 816318 1048112 1088424 1179126 1572168 1632636 1768689 2176848 2358252 3144336 3265272 3537378 4716504 5306067 6530544 7074756 9433008 10612134 14149512 21224268 28299024 42448536 84897072