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40064448 = 263712939
BaseRepresentation
bin1001100011010…
…1010111000000
32210101111002110
42120311113000
540224030243
63550415320
7664353654
oct230652700
983344073
1040064448
1120685016
1211501540
1383b9c98
14546ca64
1537b5e33
hex26355c0

40064448 has 56 divisors (see below), whose sum is σ = 107533440. Its totient is φ = 13162240.

The previous prime is 40064429. The next prime is 40064491. The reversal of 40064448 is 84446004.

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 7 ways as a sum of consecutive naturals, for example, 12163 + ... + 15101.

It is an arithmetic number, because the mean of its divisors is an integer number (1920240).

Almost surely, 240064448 is an apocalyptic number.

40064448 is a gapful number since it is divisible by the number (48) 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 40064448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53766720).

40064448 is an abundant number, since it is smaller than the sum of its proper divisors (67468992).

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

40064448 is a wasteful number, since it uses less digits than its factorization.

40064448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3025 (or 3015 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

The square root of 40064448 is about 6329.6483314636. The cubic root of 40064448 is about 342.1787649946.

The spelling of 40064448 in words is "forty million, sixty-four thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 71 96 142 192 213 284 426 568 852 1136 1704 2272 2939 3408 4544 5878 6816 8817 11756 13632 17634 23512 35268 47024 70536 94048 141072 188096 208669 282144 417338 564288 626007 834676 1252014 1669352 2504028 3338704 5008056 6677408 10016112 13354816 20032224 40064448