Search a number
-
+
40114008 = 23331116883
BaseRepresentation
bin1001100100000…
…1011101011000
32210111000002000
42121001131120
540232122013
63551441000
7664651314
oct231013530
983430060
1040114008
1120709280
1211526160
1384066cc
145482b44
1537c5973
hex2641758

40114008 has 64 divisors (see below), whose sum is σ = 121564800. Its totient is φ = 12155040.

The previous prime is 40114007. The next prime is 40114013. The reversal of 40114008 is 80041104.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40114003) 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 15 ways as a sum of consecutive naturals, for example, 6066 + ... + 10817.

It is an arithmetic number, because the mean of its divisors is an integer number (1899450).

Almost surely, 240114008 is an apocalyptic number.

It is an amenable number.

40114008 is an abundant number, since it is smaller than the sum of its proper divisors (81450792).

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

40114008 is a wasteful number, since it uses less digits than its factorization.

40114008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16909 (or 16899 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 40114008 is about 6333.5620309586. The cubic root of 40114008 is about 342.3197993588.

The spelling of 40114008 in words is "forty million, one hundred fourteen thousand, eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 108 132 198 216 264 297 396 594 792 1188 2376 16883 33766 50649 67532 101298 135064 151947 185713 202596 303894 371426 405192 455841 557139 607788 742852 911682 1114278 1215576 1485704 1671417 1823364 2228556 3342834 3646728 4457112 5014251 6685668 10028502 13371336 20057004 40114008