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85463440 = 2456183211
BaseRepresentation
bin1010001100000…
…01000110010000
312221210222210121
411012001012100
5133334312230
612251440024
72055266356
oct506010620
9187728717
1085463440
1144272a47
1224756014
13149240aa
14b4c97d6
15778277a
hex5181190

85463440 has 80 divisors (see below), whose sum is σ = 205361856. Its totient is φ = 33062400.

The previous prime is 85463429. The next prime is 85463449. The reversal of 85463440 is 4436458.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 85463396 and 85463405.

It is not an unprimeable number, because it can be changed into a prime (85463449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 404935 + ... + 405145.

Almost surely, 285463440 is an apocalyptic number.

85463440 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 85463440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102680928).

85463440 is an abundant number, since it is smaller than the sum of its proper divisors (119898416).

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

85463440 is a wasteful number, since it uses less digits than its factorization.

85463440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 34.

The square root of 85463440 is about 9244.6438546869. The cubic root of 85463440 is about 440.4806043297.

Adding to 85463440 its reverse (4436458), we get a palindrome (89899898).

The spelling of 85463440 in words is "eighty-five million, four hundred sixty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 61 80 83 122 166 211 244 305 332 415 422 488 610 664 830 844 976 1055 1220 1328 1660 1688 2110 2440 3320 3376 4220 4880 5063 6640 8440 10126 12871 16880 17513 20252 25315 25742 35026 40504 50630 51484 64355 70052 81008 87565 101260 102968 128710 140104 175130 202520 205936 257420 280208 350260 405040 514840 700520 1029680 1068293 1401040 2136586 4273172 5341465 8546344 10682930 17092688 21365860 42731720 85463440