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40212414 = 23211237499
BaseRepresentation
bin1001100101100…
…1011110111110
32210200000001200
42121121132332
540243244124
63553520330
7665541234
oct231313676
983600050
1040212414
1120776200
12115730a6
13843c438
1454aa954
1537e4bc9
hex26597be

40212414 has 72 divisors (see below), whose sum is σ = 98553000. Its totient is φ = 11832480.

The previous prime is 40212413. The next prime is 40212427. The reversal of 40212414 is 41421204.

40212414 = 4462 + 4472 + ... + 5932.

40212414 is a `hidden beast` number, since 40 + 212 + 414 = 666.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40212413) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 80337 + ... + 80835.

Almost surely, 240212414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40212414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49276500).

40212414 is an abundant number, since it is smaller than the sum of its proper divisors (58340586).

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

40212414 is a wasteful number, since it uses less digits than its factorization.

40212414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 566 (or 552 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 40212414 is about 6341.3258865950. The cubic root of 40212414 is about 342.5994922921.

Adding to 40212414 its reverse (41421204), we get a palindrome (81633618).

The spelling of 40212414 in words is "forty million, two hundred twelve thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 11 18 22 33 37 66 74 99 111 121 198 222 242 333 363 407 499 666 726 814 998 1089 1221 1497 2178 2442 2994 3663 4477 4491 5489 7326 8954 8982 10978 13431 16467 18463 26862 32934 36926 40293 49401 55389 60379 80586 98802 110778 120758 166167 181137 203093 332334 362274 406186 543411 609279 1086822 1218558 1827837 2234023 3655674 4468046 6702069 13404138 20106207 40212414