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40241214 = 23213237477
BaseRepresentation
bin1001100110000…
…0100000111110
32210201110120100
42121200200332
540300204324
63554301530
7666021216
oct231404076
983643510
1040241214
1120795902
12115878a6
13844c590
1454b7246
1537ed4c9
hex266083e

40241214 has 48 divisors (see below), whose sum is σ = 97991712. Its totient is φ = 11841984.

The previous prime is 40241209. The next prime is 40241219. The reversal of 40241214 is 41214204.

It is an interprime number because it is at equal distance from previous prime (40241209) and next prime (40241219).

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 (40241219) 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, 1644 + ... + 9120.

It is an arithmetic number, because the mean of its divisors is an integer number (2041494).

Almost surely, 240241214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40241214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48995856).

40241214 is an abundant number, since it is smaller than the sum of its proper divisors (57750498).

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

40241214 is a wasteful number, since it uses less digits than its factorization.

40241214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7521 (or 7518 counting only the distinct ones).

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

The square root of 40241214 is about 6343.5962986306. The cubic root of 40241214 is about 342.6812623211.

Adding to 40241214 its reverse (41214204), we get a palindrome (81455418).

It can be divided in two parts, 402 and 41214, that added together give a triangular number (41616 = T288).

The spelling of 40241214 in words is "forty million, two hundred forty-one thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 13 18 23 26 39 46 69 78 117 138 207 234 299 414 598 897 1794 2691 5382 7477 14954 22431 44862 67293 97201 134586 171971 194402 291603 343942 515913 583206 874809 1031826 1547739 1749618 2235623 3095478 4471246 6706869 13413738 20120607 40241214