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40816377 = 3275979139
BaseRepresentation
bin1001101110110…
…0111011111001
32211210200112200
42123230323321
540422111002
64014500413
71003635120
oct233547371
984720480
1040816377
1121048a48
1211804709
1385c1304
1455c6ab7
1538b3b1c
hex26ecef9

40816377 has 48 divisors (see below), whose sum is σ = 69888000. Its totient is φ = 22475232.

The previous prime is 40816309. The next prime is 40816387. The reversal of 40816377 is 77361804.

It is not a de Polignac number, because 40816377 - 28 = 40816121 is a prime.

It is a super-2 number, since 2×408163772 = 3331953262812258, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (40816387) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 293574 + ... + 293712.

It is an arithmetic number, because the mean of its divisors is an integer number (1456000).

Almost surely, 240816377 is an apocalyptic number.

It is an amenable number.

40816377 is a deficient number, since it is larger than the sum of its proper divisors (29071623).

40816377 is a wasteful number, since it uses less digits than its factorization.

40816377 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 40816377 is about 6388.7695998525. The cubic root of 40816377 is about 344.3061796507.

The spelling of 40816377 in words is "forty million, eight hundred sixteen thousand, three hundred seventy-seven".

Divisors: 1 3 7 9 21 59 63 79 139 177 237 413 417 531 553 711 973 1239 1251 1659 2919 3717 4661 4977 8201 8757 10981 13983 24603 32627 32943 41949 57407 73809 76867 97881 98829 172221 230601 293643 516663 647879 691803 1943637 4535153 5830911 13605459 40816377