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41797952 = 267791181
BaseRepresentation
bin1001111101110…
…0100101000000
32220122120000022
42133130211000
541200013302
64051513012
71015163630
oct237344500
986576008
1041797952
1121659469
1211bb8768
138876021
1457a06c0
153a098a2
hex27dc940

41797952 has 56 divisors (see below), whose sum is σ = 96072960. Its totient is φ = 17671680.

The previous prime is 41797933. The next prime is 41797957. The reversal of 41797952 is 25979714.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41797957) 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, 34802 + ... + 35982.

Almost surely, 241797952 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 41797952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48036480).

41797952 is an abundant number, since it is smaller than the sum of its proper divisors (54275008).

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

41797952 is a wasteful number, since it uses less digits than its factorization.

41797952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1279 (or 1269 counting only the distinct ones).

The product of its digits is 158760, while the sum is 44.

The square root of 41797952 is about 6465.1335639722. The cubic root of 41797952 is about 347.0443680862.

The spelling of 41797952 in words is "forty-one million, seven hundred ninety-seven thousand, nine hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 79 112 158 224 316 448 553 632 1106 1181 1264 2212 2362 2528 4424 4724 5056 8267 8848 9448 16534 17696 18896 33068 35392 37792 66136 75584 93299 132272 186598 264544 373196 529088 653093 746392 1306186 1492784 2612372 2985568 5224744 5971136 10449488 20898976 41797952