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85485104 = 24193147193
BaseRepresentation
bin1010001100001…
…10011000110000
312221212002111222
411012012120300
5133341010404
612252124212
72055416465
oct506063060
9187762458
1085485104
1144288251
1224766668
1314930c03
14b4d366c
157788dbe
hex5186630

85485104 has 80 divisors (see below), whose sum is σ = 184750080. Its totient is φ = 38154240.

The previous prime is 85485091. The next prime is 85485109. The reversal of 85485104 is 40158458.

It is not an unprimeable number, because it can be changed into a prime (85485109) 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, 442832 + ... + 443024.

It is an arithmetic number, because the mean of its divisors is an integer number (2309376).

Almost surely, 285485104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85485104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92375040).

85485104 is an abundant number, since it is smaller than the sum of its proper divisors (99264976).

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

85485104 is a wasteful number, since it uses less digits than its factorization.

85485104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 35.

The square root of 85485104 is about 9245.8154859374. The cubic root of 85485104 is about 440.5178201092.

It can be divided in two parts, 854 and 85104, that added together give a palindrome (85958).

The spelling of 85485104 in words is "eighty-five million, four hundred eighty-five thousand, one hundred four".

Divisors: 1 2 4 8 16 19 31 38 47 62 76 94 124 152 188 193 248 304 376 386 496 589 752 772 893 1178 1457 1544 1786 2356 2914 3088 3572 3667 4712 5828 5983 7144 7334 9071 9424 11656 11966 14288 14668 18142 23312 23932 27683 29336 36284 47864 55366 58672 72568 95728 110732 113677 145136 172349 221464 227354 281201 344698 442928 454708 562402 689396 909416 1124804 1378792 1818832 2249608 2757584 4499216 5342819 10685638 21371276 42742552 85485104