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85457440 = 2551928111
BaseRepresentation
bin1010001011111…
…11101000100000
312221210200120101
411011333220200
5133334114230
612251352144
72055243025
oct505775040
9187720511
1085457440
1144269492
1224752654
1314921443
14b4c754c
157780aca
hex517fa20

85457440 has 48 divisors (see below), whose sum is σ = 212526720. Its totient is φ = 32382720.

The previous prime is 85457423. The next prime is 85457447. The reversal of 85457440 is 4475458.

It is a self number, because there is not a number n which added to its sum of digits gives 85457440.

It is not an unprimeable number, because it can be changed into a prime (85457447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11016 + ... + 17095.

It is an arithmetic number, because the mean of its divisors is an integer number (4427640).

Almost surely, 285457440 is an apocalyptic number.

85457440 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85457440 is an abundant number, since it is smaller than the sum of its proper divisors (127069280).

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

85457440 is a wasteful number, since it uses less digits than its factorization.

85457440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28145 (or 28137 counting only the distinct ones).

The product of its (nonzero) digits is 89600, while the sum is 37.

The square root of 85457440 is about 9244.3193367603. The cubic root of 85457440 is about 440.4702960409.

The spelling of 85457440 in words is "eighty-five million, four hundred fifty-seven thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 76 80 95 152 160 190 304 380 608 760 1520 3040 28111 56222 112444 140555 224888 281110 449776 534109 562220 899552 1068218 1124440 2136436 2248880 2670545 4272872 4497760 5341090 8545744 10682180 17091488 21364360 42728720 85457440