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86879040 = 263590499
BaseRepresentation
bin1010010110110…
…10101101000000
320001110220122020
411023122231000
5134220112130
612342041440
72103313443
oct513325500
9201426566
1086879040
114504a566
1225119280
1314ccb521
14b77765a
157961e10
hex52dab40

86879040 has 56 divisors (see below), whose sum is σ = 275844000. Its totient is φ = 23167488.

The previous prime is 86879021. The next prime is 86879047. The reversal of 86879040 is 4097868.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 86878983 and 86879001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86879047) 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, 44290 + ... + 46209.

Almost surely, 286879040 is an apocalyptic number.

86879040 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

86879040 is an abundant number, since it is smaller than the sum of its proper divisors (188964960).

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

86879040 is a wasteful number, since it uses less digits than its factorization.

86879040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90519 (or 90509 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 86879040 is about 9320.8926611135. The cubic root of 86879040 is about 442.8993107858.

The spelling of 86879040 in words is "eighty-six million, eight hundred seventy-nine thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 90499 180998 271497 361996 452495 542994 723992 904990 1085988 1357485 1447984 1809980 2171976 2714970 2895968 3619960 4343952 5429940 5791936 7239920 8687904 10859880 14479840 17375808 21719760 28959680 43439520 86879040