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86677056 = 2632295189
BaseRepresentation
bin1010010101010…
…01011001000000
320001002122120100
411022221121000
5134142131211
612333442400
72101512534
oct512513100
9201078510
1086677056
1144a21834
1225040400
1314c5a5cb
14b723bc4
157922156
hex52a9640

86677056 has 84 divisors (see below), whose sum is σ = 257060700. Its totient is φ = 27890688.

The previous prime is 86677009. The next prime is 86677091. The reversal of 86677056 is 65077668.

It can be written as a sum of positive squares in 2 ways, for example, as 57517056 + 29160000 = 7584^2 + 5400^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14110 + ... + 19298.

Almost surely, 286677056 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 86677056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128530350).

86677056 is an abundant number, since it is smaller than the sum of its proper divisors (170383644).

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

86677056 is a wasteful number, since it uses less digits than its factorization.

86677056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5236 (or 5223 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 86677056 is about 9310.0513425007. The cubic root of 86677056 is about 442.5558140839. Note that the first 3 decimals are identical.

The spelling of 86677056 in words is "eighty-six million, six hundred seventy-seven thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 64 72 87 96 116 144 174 192 232 261 288 348 464 522 576 696 928 1044 1392 1856 2088 2784 4176 5189 5568 8352 10378 15567 16704 20756 31134 41512 46701 62268 83024 93402 124536 150481 166048 186804 249072 300962 332096 373608 451443 498144 601924 747216 902886 996288 1203848 1354329 1494432 1805772 2407696 2708658 2988864 3611544 4815392 5417316 7223088 9630784 10834632 14446176 21669264 28892352 43338528 86677056