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40149774 = 23271931541
BaseRepresentation
bin1001100100101…
…0001100001110
32210112211010200
42121022030032
540234243044
63552314330
7665160510
oct231121416
983484120
1040149774
1120733135
12115429a6
138419a82
145491bb0
1537d1369
hex264a30e

40149774 has 96 divisors (see below), whose sum is σ = 108226560. Its totient is φ = 10497600.

The previous prime is 40149763. The next prime is 40149799. The reversal of 40149774 is 47794104.

It is a super-2 number, since 2×401497742 = 3224008704502152, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 73944 + ... + 74484.

It is an arithmetic number, because the mean of its divisors is an integer number (1127360).

Almost surely, 240149774 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40149774, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54113280).

40149774 is an abundant number, since it is smaller than the sum of its proper divisors (68076786).

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

40149774 is a wasteful number, since it uses less digits than its factorization.

40149774 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 606 (or 603 counting only the distinct ones).

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

The square root of 40149774 is about 6336.3849314889. The cubic root of 40149774 is about 342.4215075781.

The spelling of 40149774 in words is "forty million, one hundred forty-nine thousand, seven hundred seventy-four".

Divisors: 1 2 3 6 7 9 14 18 19 21 31 38 42 57 62 63 93 114 126 133 171 186 217 266 279 342 399 434 541 558 589 651 798 1082 1178 1197 1302 1623 1767 1953 2394 3246 3534 3787 3906 4123 4869 5301 7574 8246 9738 10279 10602 11361 12369 16771 20558 22722 24738 30837 33542 34083 37107 50313 61674 68166 71953 74214 92511 100626 117397 143906 150939 185022 215859 234794 301878 318649 352191 431718 637298 647577 704382 955947 1056573 1295154 1911894 2113146 2230543 2867841 4461086 5735682 6691629 13383258 20074887 40149774