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41957248 = 271811811
BaseRepresentation
bin1010000000001…
…1011110000000
32220221122112011
42200003132000
541220112443
64055142304
71016426224
oct240033600
986848464
1041957248
1121758113
1212074994
138900698
145802784
153a3bb9d
hex2803780

41957248 has 32 divisors (see below), whose sum is σ = 84094920. Its totient is φ = 20851200.

The previous prime is 41957243. The next prime is 41957249. The reversal of 41957248 is 84275914.

It is a tau number, because it is divible by the number of its divisors (32).

It is a self number, because there is not a number n which added to its sum of digits gives 41957248.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41957243) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 22263 + ... + 24073.

Almost surely, 241957248 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 41957248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42047460).

41957248 is an abundant number, since it is smaller than the sum of its proper divisors (42137672).

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

41957248 is a wasteful number, since it uses less digits than its factorization.

41957248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2006 (or 1994 counting only the distinct ones).

The product of its digits is 80640, while the sum is 40.

The square root of 41957248 is about 6477.4414702103. The cubic root of 41957248 is about 347.4846823122.

The spelling of 41957248 in words is "forty-one million, nine hundred fifty-seven thousand, two hundred forty-eight".

Divisors: 1 2 4 8 16 32 64 128 181 362 724 1448 1811 2896 3622 5792 7244 11584 14488 23168 28976 57952 115904 231808 327791 655582 1311164 2622328 5244656 10489312 20978624 41957248