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40846900 = 2252408469
BaseRepresentation
bin1001101111010…
…0011000110100
32211212020102011
42123310120310
540424100100
64015254004
71004123113
oct233643064
984766364
1040846900
1121069976
121181a304
138602183
1455d3c7a
1538bcbba
hex26f4634

40846900 has 18 divisors (see below), whose sum is σ = 88637990. Its totient is φ = 16338720.

The previous prime is 40846891. The next prime is 40846907. The reversal of 40846900 is 964804.

40846900 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 3 ways, for example, as 219024 + 40627876 = 468^2 + 6374^2 .

It is a super-2 number, since 2×408469002 = 3336938479220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40846907) 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 5 ways as a sum of consecutive naturals, for example, 204135 + ... + 204334.

Almost surely, 240846900 is an apocalyptic number.

It is an amenable number.

40846900 is an abundant number, since it is smaller than the sum of its proper divisors (47791090).

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

40846900 is a wasteful number, since it uses less digits than its factorization.

40846900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408483 (or 408476 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 40846900 is about 6391.1579545494. The cubic root of 40846900 is about 344.3919837628.

The spelling of 40846900 in words is "forty million, eight hundred forty-six thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 408469 816938 1633876 2042345 4084690 8169380 10211725 20423450 40846900