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40946144 = 252944123
BaseRepresentation
bin1001110000110…
…0100111100000
32212001021112212
42130030213200
540440234034
64021341252
71005015341
oct234144740
985037485
1040946144
1121127498
1211867828
1386383b5
14561c0c8
1538dc2ce
hex270c9e0

40946144 has 24 divisors (see below), whose sum is σ = 83394360. Its totient is φ = 19766656.

The previous prime is 40946137. The next prime is 40946153. The reversal of 40946144 is 44164904.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 40946144.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 21134 + ... + 22989.

It is an arithmetic number, because the mean of its divisors is an integer number (3474765).

Almost surely, 240946144 is an apocalyptic number.

It is an amenable number.

40946144 is an abundant number, since it is smaller than the sum of its proper divisors (42448216).

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

40946144 is a wasteful number, since it uses less digits than its factorization.

40946144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44162 (or 44154 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The square root of 40946144 is about 6398.9174084371. The cubic root of 40946144 is about 344.6706764288.

The spelling of 40946144 in words is "forty million, nine hundred forty-six thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 29 32 58 116 232 464 928 44123 88246 176492 352984 705968 1279567 1411936 2559134 5118268 10236536 20473072 40946144