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40841248 = 257414447
BaseRepresentation
bin1001101111001…
…1000000100000
32211211221122211
42123303000200
540423404443
64015211504
71004100460
oct233630040
984757584
1040841248
11210656a8
1211816b94
1385cc726
1455d1ba0
1538bb19d
hex26f3020

40841248 has 48 divisors (see below), whose sum is σ = 94155264. Its totient is φ = 17072640.

The previous prime is 40841243. The next prime is 40841249. The reversal of 40841248 is 84214804.

It is not an unprimeable number, because it can be changed into a prime (40841243) 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, 6961 + ... + 11407.

It is an arithmetic number, because the mean of its divisors is an integer number (1961568).

Almost surely, 240841248 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 40841248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47077632).

40841248 is an abundant number, since it is smaller than the sum of its proper divisors (53314016).

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

40841248 is a wasteful number, since it uses less digits than its factorization.

40841248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4505 (or 4497 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 31.

The square root of 40841248 is about 6390.7157658591. The cubic root of 40841248 is about 344.3760984832.

The spelling of 40841248 in words is "forty million, eight hundred forty-one thousand, two hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 41 56 82 112 164 224 287 328 574 656 1148 1312 2296 4447 4592 8894 9184 17788 31129 35576 62258 71152 124516 142304 182327 249032 364654 498064 729308 996128 1276289 1458616 2552578 2917232 5105156 5834464 10210312 20420624 40841248