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85244448 = 25337103233
BaseRepresentation
bin1010001010010…
…11101000100000
312221101212101210
411011023220200
5133310310243
612243030120
72053365042
oct505135040
9187355353
1085244448
1144133463
122466b340
1314878503
14b46da92
15773c933
hex514ba20

85244448 has 96 divisors (see below), whose sum is σ = 233041536. Its totient is φ = 27260928.

The previous prime is 85244437. The next prime is 85244459. The reversal of 85244448 is 84444258.

It is an interprime number because it is at equal distance from previous prime (85244437) and next prime (85244459).

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 365740 + ... + 365972.

It is an arithmetic number, because the mean of its divisors is an integer number (2427516).

Almost surely, 285244448 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 85244448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116520768).

85244448 is an abundant number, since it is smaller than the sum of its proper divisors (147797088).

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

85244448 is a wasteful number, since it uses less digits than its factorization.

85244448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386 (or 378 counting only the distinct ones).

The product of its digits is 163840, while the sum is 39.

The square root of 85244448 is about 9232.7919937579. The cubic root of 85244448 is about 440.1040525264.

The spelling of 85244448 in words is "eighty-five million, two hundred forty-four thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 74 96 103 111 148 206 222 233 296 309 412 444 466 592 618 699 824 888 932 1184 1236 1398 1648 1776 1864 2472 2796 3296 3552 3728 3811 4944 5592 7456 7622 8621 9888 11184 11433 15244 17242 22368 22866 23999 25863 30488 34484 45732 47998 51726 60976 68968 71997 91464 95996 103452 121952 137936 143994 182928 191992 206904 275872 287988 365856 383984 413808 575976 767968 827616 887963 1151952 1775926 2303904 2663889 3551852 5327778 7103704 10655556 14207408 21311112 28414816 42622224 85244448