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86378480 = 2454722973
BaseRepresentation
bin1010010011000…
…00011111110000
320000112110222222
411021200133300
5134103102410
612323220212
72066130206
oct511403760
9200473888
1086378480
1144838481
1224b17668
1314b84736
14b687076
1578b3955
hex52607f0

86378480 has 40 divisors (see below), whose sum is σ = 205111872. Its totient is φ = 33814784.

The previous prime is 86378437. The next prime is 86378489. The reversal of 86378480 is 8487368.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×863784802 = 14922483614220800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86378489) 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, 7727 + ... + 15246.

Almost surely, 286378480 is an apocalyptic number.

86378480 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

86378480 is an abundant number, since it is smaller than the sum of its proper divisors (118733392).

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

86378480 is a wasteful number, since it uses less digits than its factorization.

86378480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23033 (or 23027 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 44.

The square root of 86378480 is about 9294.0023671183. The cubic root of 86378480 is about 442.0470729197.

Subtracting from 86378480 its sum of digits (44), we obtain a square (86378436 = 92942).

The spelling of 86378480 in words is "eighty-six million, three hundred seventy-eight thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 47 80 94 188 235 376 470 752 940 1880 3760 22973 45946 91892 114865 183784 229730 367568 459460 918920 1079731 1837840 2159462 4318924 5398655 8637848 10797310 17275696 21594620 43189240 86378480