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41278272 = 263730713
BaseRepresentation
bin1001110101110…
…1101101000000
32212200011010220
42131131231000
541031401042
64032423040
71010600550
oct235355500
985604126
1041278272
1121333a82
12119a7a80
138723619
1456a7160
1539558ec
hex275db40

41278272 has 56 divisors (see below), whose sum is σ = 124821696. Its totient is φ = 11793408.

The previous prime is 41278271. The next prime is 41278291. The reversal of 41278272 is 27287214.

41278272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41278271) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 14013 + ... + 16700.

Almost surely, 241278272 is an apocalyptic number.

41278272 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

41278272 is an abundant number, since it is smaller than the sum of its proper divisors (83543424).

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

41278272 is a wasteful number, since it uses less digits than its factorization.

41278272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30735 (or 30725 counting only the distinct ones).

The product of its digits is 12544, while the sum is 33.

The square root of 41278272 is about 6424.8168845501. The cubic root of 41278272 is about 345.6000814472.

The spelling of 41278272 in words is "forty-one million, two hundred seventy-eight thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 30713 61426 92139 122852 184278 214991 245704 368556 429982 491408 644973 737112 859964 982816 1289946 1474224 1719928 1965632 2579892 2948448 3439856 5159784 5896896 6879712 10319568 13759424 20639136 41278272