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40507614 = 231073
BaseRepresentation
bin1001101010000…
…1100011011110
32211020000000000
42122201203132
540332220424
64004115130
71001211000
oct232414336
984200000
1040507614
1120957a74
1211695aa6
138513904
145546370
1538523c9
hex26a18de

40507614 has 88 divisors (see below), whose sum is σ = 106287600. Its totient is φ = 11573604.

The previous prime is 40507613. The next prime is 40507633. The reversal of 40507614 is 41670504.

40507614 is a `hidden beast` number, since 40 + 5 + 0 + 7 + 614 = 666.

40507614 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a nialpdrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40507613) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 43 ways as a sum of consecutive naturals, for example, 5786799 + ... + 5786805.

Almost surely, 240507614 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40507614, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53143800).

40507614 is an abundant number, since it is smaller than the sum of its proper divisors (65779986).

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

40507614 is an frugal number, since it uses more digits than its factorization.

40507614 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53 (or 12 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 40507614 is about 6364.5592149025. The cubic root of 40507614 is about 343.4357920453.

It can be divided in two parts, 4050 and 7614, that added together give a square (11664 = 1082).

The spelling of 40507614 in words is "forty million, five hundred seven thousand, six hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 81 98 126 147 162 189 243 294 343 378 441 486 567 686 729 882 1029 1134 1323 1458 1701 2058 2187 2646 3087 3402 3969 4374 5103 6174 6561 7938 9261 10206 11907 13122 15309 18522 19683 23814 27783 30618 35721 39366 45927 55566 59049 71442 83349 91854 107163 118098 137781 166698 214326 250047 275562 321489 413343 500094 642978 750141 826686 964467 1500282 1928934 2250423 2893401 4500846 5786802 6751269 13502538 20253807 40507614