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41797248 = 273891223
BaseRepresentation
bin1001111101110…
…0011010000000
32220122112001020
42133130122000
541200002443
64051505440
71015161603
oct237343200
986575036
1041797248
1121658989
1211bb8280
1388758cc
1457a033a
153a09583
hex27dc680

41797248 has 64 divisors (see below), whose sum is σ = 112363200. Its totient is φ = 13764608.

The previous prime is 41797229. The next prime is 41797277. The reversal of 41797248 is 84279714.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33565 + ... + 34787.

It is an arithmetic number, because the mean of its divisors is an integer number (1755675).

Almost surely, 241797248 is an apocalyptic number.

41797248 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41797248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56181600).

41797248 is an abundant number, since it is smaller than the sum of its proper divisors (70565952).

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

41797248 is a wasteful number, since it uses less digits than its factorization.

41797248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1329 (or 1317 counting only the distinct ones).

The product of its digits is 112896, while the sum is 42.

The square root of 41797248 is about 6465.0791178453. The cubic root of 41797248 is about 347.0424196605.

The spelling of 41797248 in words is "forty-one million, seven hundred ninety-seven thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 89 96 128 178 192 267 356 384 534 712 1068 1223 1424 2136 2446 2848 3669 4272 4892 5696 7338 8544 9784 11392 14676 17088 19568 29352 34176 39136 58704 78272 108847 117408 156544 217694 234816 326541 435388 469632 653082 870776 1306164 1741552 2612328 3483104 5224656 6966208 10449312 13932416 20898624 41797248