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85934480 = 2453134651
BaseRepresentation
bin1010001111101…
…00000110010000
312222200220221112
411013310012100
5133444400410
612305512452
72062300562
oct507640620
9188626845
1085934480
1144564935
1224942728
1314a5a608
14b5ad332
157827105
hex51f4190

85934480 has 40 divisors (see below), whose sum is σ = 206248704. Its totient is φ = 33264000.

The previous prime is 85934447. The next prime is 85934489. The reversal of 85934480 is 8443958.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85934489) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14846 + ... + 19805.

Almost surely, 285934480 is an apocalyptic number.

85934480 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85934480 is an abundant number, since it is smaller than the sum of its proper divisors (120314224).

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

85934480 is a wasteful number, since it uses less digits than its factorization.

85934480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34695 (or 34689 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 41.

The square root of 85934480 is about 9270.0852207517. The cubic root of 85934480 is about 441.2883725694.

The spelling of 85934480 in words is "eighty-five million, nine hundred thirty-four thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 31 40 62 80 124 155 248 310 496 620 1240 2480 34651 69302 138604 173255 277208 346510 554416 693020 1074181 1386040 2148362 2772080 4296724 5370905 8593448 10741810 17186896 21483620 42967240 85934480