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40001442 = 23131797311
BaseRepresentation
bin1001100010010…
…1111110100010
32210021021122220
42120211332202
540220021232
63545211510
7664002165
oct230457642
983237586
1040001442
1120641748
1211490b96
1383973c0
145453adc
1537a242c
hex2625fa2

40001442 has 64 divisors (see below), whose sum is σ = 92461824. Its totient is φ = 11427840.

The previous prime is 40001407. The next prime is 40001443. The reversal of 40001442 is 24410004.

40001442 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (40001443) 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 31 ways as a sum of consecutive naturals, for example, 128467 + ... + 128777.

It is an arithmetic number, because the mean of its divisors is an integer number (1444716).

Almost surely, 240001442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40001442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46230912).

40001442 is an abundant number, since it is smaller than the sum of its proper divisors (52460382).

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

40001442 is a wasteful number, since it uses less digits than its factorization.

40001442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443.

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 40001442 is about 6324.6693194190. The cubic root of 40001442 is about 341.9992989281. Note that the first 3 decimals are identical.

Adding to 40001442 its reverse (24410004), we get a palindrome (64411446).

The spelling of 40001442 in words is "forty million, one thousand, four hundred forty-two".

Divisors: 1 2 3 6 13 17 26 34 39 51 78 97 102 194 221 291 311 442 582 622 663 933 1261 1326 1649 1866 2522 3298 3783 4043 4947 5287 7566 8086 9894 10574 12129 15861 21437 24258 30167 31722 42874 60334 64311 68731 90501 128622 137462 181002 206193 392171 412386 512839 784342 1025678 1176513 1538517 2353026 3077034 6666907 13333814 20000721 40001442