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40956066 = 2327173439
BaseRepresentation
bin1001110000111…
…1000010100010
32212001210011100
42130033002202
540441043231
64021455230
71005056304
oct234170242
985053140
1040956066
1121133998
1211871516
13863ca78
145621974
1538e01e6
hex270f0a2

40956066 has 48 divisors (see below), whose sum is σ = 91428480. Its totient is φ = 13245120.

The previous prime is 40956061. The next prime is 40956067. The reversal of 40956066 is 66065904.

It is a happy number.

40956066 is a `hidden beast` number, since 40 + 9 + 5 + 606 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 40956066.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40956061) 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 23 ways as a sum of consecutive naturals, for example, 93075 + ... + 93513.

It is an arithmetic number, because the mean of its divisors is an integer number (1904760).

Almost surely, 240956066 is an apocalyptic number.

40956066 is an abundant number, since it is smaller than the sum of its proper divisors (50472414).

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

40956066 is a wasteful number, since it uses less digits than its factorization.

40956066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 591 (or 588 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 40956066 is about 6399.6926488699. The cubic root of 40956066 is about 344.6985141845.

The spelling of 40956066 in words is "forty million, nine hundred fifty-six thousand, sixty-six".

Divisors: 1 2 3 6 9 18 71 73 142 146 213 219 426 438 439 639 657 878 1278 1314 1317 2634 3951 5183 7902 10366 15549 31098 31169 32047 46647 62338 64094 93294 93507 96141 187014 192282 280521 288423 561042 576846 2275337 4550674 6826011 13652022 20478033 40956066