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86078168 = 2311592281
BaseRepresentation
bin1010010000101…
…11001011011000
312222222020001022
411020113023120
5134014000133
612312542012
72063436521
oct510271330
9188866038
1086078168
1144652890
12249b1908
1314aaab37
14b609848
157854998
hex52172d8

86078168 has 48 divisors (see below), whose sum is σ = 179741160. Its totient is φ = 38326400.

The previous prime is 86078149. The next prime is 86078171. The reversal of 86078168 is 86187068.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

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, 306188 + ... + 306468.

Almost surely, 286078168 is an apocalyptic number.

86078168 is a gapful number since it is divisible by the number (88) 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 86078168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89870580).

86078168 is an abundant number, since it is smaller than the sum of its proper divisors (93662992).

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

86078168 is a wasteful number, since it uses less digits than its factorization.

86078168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 44.

The square root of 86078168 is about 9277.8320743588. The cubic root of 86078168 is about 441.5341898316.

Subtracting 86078168 from its reverse (86187068), we obtain a square (108900 = 3302).

The spelling of 86078168 in words is "eighty-six million, seventy-eight thousand, one hundred sixty-eight".

Divisors: 1 2 4 8 11 22 44 59 88 118 236 281 472 562 649 1124 1298 2248 2596 3091 3481 5192 6182 6962 12364 13924 16579 24728 27848 33158 38291 66316 76582 132632 153164 182369 306328 364738 729476 978161 1458952 1956322 3912644 7825288 10759771 21519542 43039084 86078168