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40376144 = 2441611009
BaseRepresentation
bin1001101000000…
…1011101010000
32210222022122202
42122001131100
540314014034
64001222332
71000122464
oct232013520
983868582
1040376144
1120878216
12116319a8
138498b13
1455104a4
15382847e
hex2681750

40376144 has 40 divisors (see below), whose sum is σ = 81531240. Its totient is φ = 19353600.

The previous prime is 40376137. The next prime is 40376177. The reversal of 40376144 is 44167304.

It can be written as a sum of positive squares in 4 ways, for example, as 3312400 + 37063744 = 1820^2 + 6088^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39512 + ... + 40520.

It is an arithmetic number, because the mean of its divisors is an integer number (2038281).

Almost surely, 240376144 is an apocalyptic number.

It is an amenable number.

40376144 is an abundant number, since it is smaller than the sum of its proper divisors (41155096).

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

40376144 is a wasteful number, since it uses less digits than its factorization.

40376144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1119 (or 1113 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 29.

The square root of 40376144 is about 6354.2225330877. Note that the first 3 decimals coincide. The cubic root of 40376144 is about 343.0638418962.

The spelling of 40376144 in words is "forty million, three hundred seventy-six thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 41 61 82 122 164 244 328 488 656 976 1009 2018 2501 4036 5002 8072 10004 16144 20008 40016 41369 61549 82738 123098 165476 246196 330952 492392 661904 984784 2523509 5047018 10094036 20188072 40376144