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41132448 = 253472267
BaseRepresentation
bin1001110011101…
…0000110100000
32212101202010000
42130322012200
541012214243
64025340000
71006422450
oct234720640
985352100
1041132448
1121244465
1211937600
1386a2136
145669d60
1539275d3
hex273a1a0

41132448 has 120 divisors (see below), whose sum is σ = 138311712. Its totient is φ = 11746944.

The previous prime is 41132447. The next prime is 41132449. The reversal of 41132448 is 84423114.

41132448 is a `hidden beast` number, since 411 + 3 + 244 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (41132447) and next prime (41132449).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (41132447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 17011 + ... + 19277.

Almost surely, 241132448 is an apocalyptic number.

41132448 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 41132448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69155856).

41132448 is an abundant number, since it is smaller than the sum of its proper divisors (97179264).

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

41132448 is a wasteful number, since it uses less digits than its factorization.

41132448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2296 (or 2279 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 41132448 is about 6413.4583494399. The cubic root of 41132448 is about 345.1926334424.

It can be divided in two parts, 4113 and 2448, that added together give a 8-th power (6561 = 38).

The spelling of 41132448 in words is "forty-one million, one hundred thirty-two thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 81 84 96 108 112 126 144 162 168 189 216 224 252 288 324 336 378 432 504 567 648 672 756 864 1008 1134 1296 1512 2016 2267 2268 2592 3024 4534 4536 6048 6801 9068 9072 13602 15869 18136 18144 20403 27204 31738 36272 40806 47607 54408 61209 63476 72544 81612 95214 108816 122418 126952 142821 163224 183627 190428 217632 244836 253904 285642 326448 367254 380856 428463 489672 507808 571284 652896 734508 761712 856926 979344 1142568 1285389 1469016 1523424 1713852 1958688 2285136 2570778 2938032 3427704 4570272 5141556 5876064 6855408 10283112 13710816 20566224 41132448