Search a number
-
+
40377042 = 234475303
BaseRepresentation
bin1001101000000…
…1101011010010
32210222100220000
42122001223102
540314031132
64001230430
71000125216
oct232015322
983870800
1040377042
1120878962
1211632416
138499354
145510946
15382887c
hex2681ad2

40377042 has 40 divisors (see below), whose sum is σ = 92416896. Its totient is φ = 13170168.

The previous prime is 40377041. The next prime is 40377067. The reversal of 40377042 is 24077304.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 40376997 and 40377015.

It is not an unprimeable number, because it can be changed into a prime (40377041) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 4963 + ... + 10265.

Almost surely, 240377042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40377042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46208448).

40377042 is an abundant number, since it is smaller than the sum of its proper divisors (52039854).

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

40377042 is a wasteful number, since it uses less digits than its factorization.

40377042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5364 (or 5355 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 27.

The square root of 40377042 is about 6354.2931943687. The cubic root of 40377042 is about 343.0663852219.

The spelling of 40377042 in words is "forty million, three hundred seventy-seven thousand, forty-two".

Divisors: 1 2 3 6 9 18 27 47 54 81 94 141 162 282 423 846 1269 2538 3807 5303 7614 10606 15909 31818 47727 95454 143181 249241 286362 429543 498482 747723 859086 1495446 2243169 4486338 6729507 13459014 20188521 40377042