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40854632 = 2372138017
BaseRepresentation
bin1001101111011…
…0010001101000
32211212122000112
42123312101220
540424322012
64015353452
71004154500
oct233662150
984778015
1040854632
1121074765
1211822888
138605850
1455d6a00
1538c0122
hex26f6468

40854632 has 48 divisors (see below), whose sum is σ = 95975460. Its totient is φ = 16160256.

The previous prime is 40854631. The next prime is 40854659. The reversal of 40854632 is 23645804.

40854632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 39866596 + 988036 = 6314^2 + 994^2 .

It is not an unprimeable number, because it can be changed into a prime (40854631) 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 11 ways as a sum of consecutive naturals, for example, 1088 + ... + 9104.

Almost surely, 240854632 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 40854632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47987730).

40854632 is an abundant number, since it is smaller than the sum of its proper divisors (55120828).

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

40854632 is a wasteful number, since it uses less digits than its factorization.

40854632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8050 (or 8039 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

The square root of 40854632 is about 6391.7628241355. The cubic root of 40854632 is about 344.4137126318.

The spelling of 40854632 in words is "forty million, eight hundred fifty-four thousand, six hundred thirty-two".

Divisors: 1 2 4 7 8 13 14 26 28 49 52 56 91 98 104 182 196 364 392 637 728 1274 2548 5096 8017 16034 32068 56119 64136 104221 112238 208442 224476 392833 416884 448952 729547 785666 833768 1459094 1571332 2918188 3142664 5106829 5836376 10213658 20427316 40854632