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41289312 = 253479151
BaseRepresentation
bin1001110110000…
…0011001100000
32212200201021210
42131200121200
541032224222
64032550120
71010645001
oct235403140
985621253
1041289312
11213412a9
12119b2340
13872865c
1456ab1a8
153958d0c
hex2760660

41289312 has 48 divisors (see below), whose sum is σ = 110702592. Its totient is φ = 13468800.

The previous prime is 41289239. The next prime is 41289317. The reversal of 41289312 is 21398214.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 41289312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41289317) 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, 64 + ... + 9087.

It is an arithmetic number, because the mean of its divisors is an integer number (2306304).

Almost surely, 241289312 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 41289312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55351296).

41289312 is an abundant number, since it is smaller than the sum of its proper divisors (69413280).

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

41289312 is a wasteful number, since it uses less digits than its factorization.

41289312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9211 (or 9203 counting only the distinct ones).

The product of its digits is 3456, while the sum is 30.

The square root of 41289312 is about 6425.6759955665. The cubic root of 41289312 is about 345.6308893001.

The spelling of 41289312 in words is "forty-one million, two hundred eighty-nine thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 94 96 141 188 282 376 564 752 1128 1504 2256 4512 9151 18302 27453 36604 54906 73208 109812 146416 219624 292832 430097 439248 860194 878496 1290291 1720388 2580582 3440776 5161164 6881552 10322328 13763104 20644656 41289312