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86882240 = 2651715971
BaseRepresentation
bin1010010110110…
…11011111000000
320001111002000202
411023123133000
5134220212430
612342104332
72103325664
oct513333700
9201432022
1086882240
1145051a05
122511b0a8
1314cccb13
14b7788a4
157962d45
hex52db7c0

86882240 has 56 divisors (see below), whose sum is σ = 219071952. Its totient is φ = 32706560.

The previous prime is 86882233. The next prime is 86882267. The reversal of 86882240 is 4228868.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 86882194 and 86882203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2546 + ... + 13425.

Almost surely, 286882240 is an apocalyptic number.

86882240 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

86882240 is an abundant number, since it is smaller than the sum of its proper divisors (132189712).

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

86882240 is a wasteful number, since it uses less digits than its factorization.

86882240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16005 (or 15995 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 38.

The square root of 86882240 is about 9321.0643169115. The cubic root of 86882240 is about 442.9047484625.

The spelling of 86882240 in words is "eighty-six million, eight hundred eighty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 136 160 170 272 320 340 544 680 1088 1360 2720 5440 15971 31942 63884 79855 127768 159710 255536 271507 319420 511072 543014 638840 1022144 1086028 1277680 1357535 2172056 2555360 2715070 4344112 5110720 5430140 8688224 10860280 17376448 21720560 43441120 86882240