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86773712 = 24173141251
BaseRepresentation
bin1010010110000…
…00111111010000
320001021120011012
411023000333100
5134203224322
612335510052
72102364404
oct513007720
9201246135
1086773712
1144a88413
1225088328
1314c925bc
14b74b104
157940ae2
hex52c0fd0

86773712 has 80 divisors (see below), whose sum is σ = 188987904. Its totient is φ = 38400000.

The previous prime is 86773693. The next prime is 86773721. The reversal of 86773712 is 21737768.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a self number, because there is not a number n which added to its sum of digits gives 86773712.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 345587 + ... + 345837.

Almost surely, 286773712 is an apocalyptic number.

86773712 is a gapful number since it is divisible by the number (82) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86773712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94493952).

86773712 is an abundant number, since it is smaller than the sum of its proper divisors (102214192).

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

86773712 is a wasteful number, since it uses less digits than its factorization.

86773712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 342 counting only the distinct ones).

The product of its digits is 98784, while the sum is 41.

The square root of 86773712 is about 9315.2408449809. The cubic root of 86773712 is about 442.7202550808.

The spelling of 86773712 in words is "eighty-six million, seven hundred seventy-three thousand, seven hundred twelve".

Divisors: 1 2 4 8 16 17 31 34 41 62 68 82 124 136 164 248 251 272 328 496 502 527 656 697 1004 1054 1271 1394 2008 2108 2542 2788 4016 4216 4267 5084 5576 7781 8432 8534 10168 10291 11152 15562 17068 20336 20582 21607 31124 34136 41164 43214 62248 68272 82328 86428 124496 132277 164656 172856 174947 264554 319021 345712 349894 529108 638042 699788 1058216 1276084 1399576 2116432 2552168 2799152 5104336 5423357 10846714 21693428 43386856 86773712