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85324480 = 2652311593
BaseRepresentation
bin1010001010111…
…11001011000000
312221112221011221
411011133023000
5133320340410
612244444424
72054150263
oct505371300
9187487157
1085324480
11441885aa
12246a9714
13148a5a77
14b490cda
1577564da
hex515f2c0

85324480 has 56 divisors (see below), whose sum is σ = 212031072. Its totient is φ = 32643072.

The previous prime is 85324471. The next prime is 85324489. The reversal of 85324480 is 8442358.

It is an interprime number because it is at equal distance from previous prime (85324471) and next prime (85324489).

It is not an unprimeable number, because it can be changed into a prime (85324489) 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, 1564 + ... + 13156.

Almost surely, 285324480 is an apocalyptic number.

85324480 is a gapful number since it is divisible by the number (80) 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 85324480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106015536).

85324480 is an abundant number, since it is smaller than the sum of its proper divisors (126706592).

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

85324480 is a wasteful number, since it uses less digits than its factorization.

85324480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11633 (or 11623 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 34.

The square root of 85324480 is about 9237.1250938807. The cubic root of 85324480 is about 440.2417404393.

The spelling of 85324480 in words is "eighty-five million, three hundred twenty-four thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 64 80 92 115 160 184 230 320 368 460 736 920 1472 1840 3680 7360 11593 23186 46372 57965 92744 115930 185488 231860 266639 370976 463720 533278 741952 927440 1066556 1333195 1854880 2133112 2666390 3709760 4266224 5332780 8532448 10665560 17064896 21331120 42662240 85324480