[go: up one dir, main page]

Search a number
-
+
86203392 = 2103112551
BaseRepresentation
bin1010010001101…
…01110000000000
320000012120211020
411020311300000
5134032002032
612315345440
72064500562
oct510656000
9200176736
1086203392
1144728980
1224a52280
1314b22b32
14b63d332
15787bb2c
hex5235c00

86203392 has 88 divisors (see below), whose sum is σ = 250749312. Its totient is φ = 26112000.

The previous prime is 86203391. The next prime is 86203421. The reversal of 86203392 is 29330268.

It is a tau number, because it is divible by the number of its divisors (88).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86203391) 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, 32517 + ... + 35067.

It is an arithmetic number, because the mean of its divisors is an integer number (2849424).

Almost surely, 286203392 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 86203392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125374656).

86203392 is an abundant number, since it is smaller than the sum of its proper divisors (164545920).

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

86203392 is a wasteful number, since it uses less digits than its factorization.

86203392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2585 (or 2567 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 86203392 is about 9284.5781810484. The cubic root of 86203392 is about 441.7481964280.

The spelling of 86203392 in words is "eighty-six million, two hundred three thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 512 528 704 768 1024 1056 1408 1536 2112 2551 2816 3072 4224 5102 5632 7653 8448 10204 11264 15306 16896 20408 28061 30612 33792 40816 56122 61224 81632 84183 112244 122448 163264 168366 224488 244896 326528 336732 448976 489792 653056 673464 897952 979584 1306112 1346928 1795904 1959168 2612224 2693856 3591808 3918336 5387712 7183616 7836672 10775424 14367232 21550848 28734464 43101696 86203392