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40361814 = 236193147
BaseRepresentation
bin1001100111110…
…1111101010110
32210221121000000
42121331331112
540313034224
64001032130
71000032633
oct231757526
983847000
1040361814
1120868479
1211625646
13849243c
14550918a
1538240c9
hex267df56

40361814 has 112 divisors (see below), whose sum is σ = 100730880. Its totient is φ = 12072240.

The previous prime is 40361813. The next prime is 40361831. The reversal of 40361814 is 41816304.

40361814 is a `hidden beast` number, since 40 + 3 + 618 + 1 + 4 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40361813) 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 55 ways as a sum of consecutive naturals, for example, 858739 + ... + 858785.

Almost surely, 240361814 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40361814, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50365440).

40361814 is an abundant number, since it is smaller than the sum of its proper divisors (60369066).

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

40361814 is a wasteful number, since it uses less digits than its factorization.

40361814 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 40361814 is about 6353.0948363770. The cubic root of 40361814 is about 343.0232512068.

The spelling of 40361814 in words is "forty million, three hundred sixty-one thousand, eight hundred fourteen".

Divisors: 1 2 3 6 9 18 19 27 31 38 47 54 57 62 81 93 94 114 141 162 171 186 243 279 282 342 423 486 513 558 589 729 837 846 893 1026 1178 1269 1457 1458 1539 1674 1767 1786 2511 2538 2679 2914 3078 3534 3807 4371 4617 5022 5301 5358 7533 7614 8037 8742 9234 10602 11421 13113 13851 15066 15903 16074 22599 22842 24111 26226 27683 27702 31806 34263 39339 45198 47709 48222 55366 68526 72333 78678 83049 95418 118017 143127 144666 166098 216999 236034 249147 286254 354051 429381 433998 498294 650997 708102 747441 858762 1062153 1301994 1494882 2124306 2242323 4484646 6726969 13453938 20180907 40361814