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41252976 = 2434139229
BaseRepresentation
bin1001110101011…
…1100001110000
32212121212110000
42131113201300
541030043401
64032110000
71010434032
oct235274160
985555400
1041252976
1121316a76
1211995300
138714c5b
14569bc52
15394d186
hex2757870

41252976 has 100 divisors (see below), whose sum is σ = 120782200. Its totient is φ = 13592448.

The previous prime is 41252969. The next prime is 41252983. The reversal of 41252976 is 67925214.

41252976 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (41252969) and next prime (41252983).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 9.

It is a self number, because there is not a number n which added to its sum of digits gives 41252976.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 180030 + ... + 180258.

It is an arithmetic number, because the mean of its divisors is an integer number (1207822).

Almost surely, 241252976 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 41252976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60391100).

41252976 is an abundant number, since it is smaller than the sum of its proper divisors (79529224).

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

41252976 is a wasteful number, since it uses less digits than its factorization.

41252976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 373 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 41252976 is about 6422.8479664398. The cubic root of 41252976 is about 345.5294705612.

The spelling of 41252976 in words is "forty-one million, two hundred fifty-two thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 139 144 162 216 229 278 324 417 432 458 556 648 687 834 916 1112 1251 1296 1374 1668 1832 2061 2224 2502 2748 3336 3664 3753 4122 5004 5496 6183 6672 7506 8244 10008 10992 11259 12366 15012 16488 18549 20016 22518 24732 30024 31831 32976 37098 45036 49464 60048 63662 74196 90072 95493 98928 127324 148392 180144 190986 254648 286479 296784 381972 509296 572958 763944 859437 1145916 1527888 1718874 2291832 2578311 3437748 4583664 5156622 6875496 10313244 13750992 20626488 41252976