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41152000 = 2953643
BaseRepresentation
bin1001110011111…
…0111000000000
32212102201221011
42130332320000
541013331000
64030010304
71006533451
oct234767000
985381834
1041152000
112125811a
1211946994
1386aacc6
145673128
15392d2ba
hex273ee00

41152000 has 80 divisors (see below), whose sum is σ = 102774672. Its totient is φ = 16435200.

The previous prime is 41151997. The next prime is 41152021. The reversal of 41152000 is 25114.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

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, 63679 + ... + 64321.

Almost surely, 241152000 is an apocalyptic number.

41152000 is a gapful number since it is divisible by the number (40) 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 41152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51387336).

41152000 is an abundant number, since it is smaller than the sum of its proper divisors (61622672).

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

41152000 is an frugal number, since it uses more digits than its factorization.

41152000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 676 (or 650 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 13.

The square root of 41152000 is about 6414.9824629534. The cubic root of 41152000 is about 345.2473196863.

Adding to 41152000 its reverse (25114), we get a palindrome (41177114).

The spelling of 41152000 in words is "forty-one million, one hundred fifty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 512 640 643 800 1000 1280 1286 1600 2000 2560 2572 3200 3215 4000 5144 6400 6430 8000 10288 12800 12860 16000 16075 20576 25720 32000 32150 41152 51440 64000 64300 80375 82304 102880 128600 160750 164608 205760 257200 321500 329216 411520 514400 643000 823040 1028800 1286000 1646080 2057600 2572000 4115200 5144000 8230400 10288000 20576000 41152000