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41400456 = 2336128279
BaseRepresentation
bin1001110111101…
…1100010001000
32212220100202020
42131323202020
541044303311
64035204440
71011620016
oct235734210
985810666
1041400456
1121407859
1211a46720
138767116
1456d98b6
15397bc06
hex277b888

41400456 has 32 divisors (see below), whose sum is σ = 105201600. Its totient is φ = 13573440.

The previous prime is 41400451. The next prime is 41400461. The reversal of 41400456 is 65400414.

41400456 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 (41400451) and next prime (41400461).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (41400451) 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, 12676 + ... + 15603.

It is an arithmetic number, because the mean of its divisors is an integer number (3287550).

Almost surely, 241400456 is an apocalyptic number.

It is an amenable number.

41400456 is an abundant number, since it is smaller than the sum of its proper divisors (63801144).

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

41400456 is a wasteful number, since it uses less digits than its factorization.

41400456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28349 (or 28345 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 41400456 is about 6434.3186119433. The cubic root of 41400456 is about 345.9407385112.

The spelling of 41400456 in words is "forty-one million, four hundred thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 24 61 122 183 244 366 488 732 1464 28279 56558 84837 113116 169674 226232 339348 678696 1725019 3450038 5175057 6900076 10350114 13800152 20700228 41400456