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90686376 = 233211671709
BaseRepresentation
bin1010110011111…
…00001110101000
320022122100022200
411121330032220
5141203431001
612555420200
72150551524
oct531741650
9208570280
1090686376
1147210020
1226454660
1315a324a1
14c088d84
157e65086
hex567c3a8

90686376 has 96 divisors (see below), whose sum is σ = 272095200. Its totient is φ = 27054720.

The previous prime is 90686369. The next prime is 90686413. The reversal of 90686376 is 67368609.

90686376 is a `hidden beast` number, since 9 + 0 + 6 + 8 + 637 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52210 + ... + 53918.

It is an arithmetic number, because the mean of its divisors is an integer number (2834325).

Almost surely, 290686376 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 90686376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136047600).

90686376 is an abundant number, since it is smaller than the sum of its proper divisors (181408824).

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

90686376 is a wasteful number, since it uses less digits than its factorization.

90686376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1799 (or 1792 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 90686376 is about 9522.9394621619. The cubic root of 90686376 is about 449.2768236209.

The spelling of 90686376 in words is "ninety million, six hundred eighty-six thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 67 72 88 99 132 134 198 201 264 268 396 402 536 603 737 792 804 1206 1474 1608 1709 2211 2412 2948 3418 4422 4824 5127 5896 6633 6836 8844 10254 13266 13672 15381 17688 18799 20508 26532 30762 37598 41016 53064 56397 61524 75196 112794 114503 123048 150392 169191 225588 229006 338382 343509 451176 458012 676764 687018 916024 1030527 1259533 1353528 1374036 2061054 2519066 2748072 3778599 4122108 5038132 7557198 8244216 10076264 11335797 15114396 22671594 30228792 45343188 90686376