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86490048 = 2631273547
BaseRepresentation
bin1010010011110…
…11101111000000
320000202011001010
411021323233000
5134120140143
612325440520
72100103401
oct511735700
9200664033
1086490048
1144904287
1224b70140
1314bc3458
14b6b59a8
1578d6a33
hex527bbc0

86490048 has 56 divisors (see below), whose sum is σ = 230705152. Its totient is φ = 28594944.

The previous prime is 86490029. The next prime is 86490049. The reversal of 86490048 is 84009468.

It is a junction number, because it is equal to n+sod(n) for n = 86489988 and 86490015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86490049) 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, 22611 + ... + 26157.

Almost surely, 286490048 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 86490048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115352576).

86490048 is an abundant number, since it is smaller than the sum of its proper divisors (144215104).

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

86490048 is a wasteful number, since it uses less digits than its factorization.

86490048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3689 (or 3679 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 86490048 is about 9300.0025806448. The cubic root of 86490048 is about 442.2373096916.

The spelling of 86490048 in words is "eighty-six million, four hundred ninety thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 127 192 254 381 508 762 1016 1524 2032 3048 3547 4064 6096 7094 8128 10641 12192 14188 21282 24384 28376 42564 56752 85128 113504 170256 227008 340512 450469 681024 900938 1351407 1801876 2702814 3603752 5405628 7207504 10811256 14415008 21622512 28830016 43245024 86490048