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37089414 = 234283809
BaseRepresentation
bin1000110101111…
…1000010000110
32120210100010000
42031133002012
533443330124
63402542130
7630153255
oct215370206
976710100
1037089414
1119a3290a
1210507946
1378b7acb
144cd679c
1533c96c9
hex235f086

37089414 has 40 divisors (see below), whose sum is σ = 83504520. Its totient is φ = 12304224.

The previous prime is 37089413. The next prime is 37089419. The reversal of 37089414 is 41498073.

It is a happy number.

It is a super-3 number, since 3×370894143 (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37089413) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 45442 + ... + 46250.

It is an arithmetic number, because the mean of its divisors is an integer number (2087613).

Almost surely, 237089414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 37089414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41752260).

37089414 is an abundant number, since it is smaller than the sum of its proper divisors (46415106).

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

37089414 is a wasteful number, since it uses less digits than its factorization.

37089414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1106 (or 1097 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 37089414 is about 6090.1078808179. The cubic root of 37089414 is about 333.4903902100.

The spelling of 37089414 in words is "thirty-seven million, eighty-nine thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 18 27 54 81 162 283 566 809 849 1618 1698 2427 2547 4854 5094 7281 7641 14562 15282 21843 22923 43686 45846 65529 131058 228947 457894 686841 1373682 2060523 4121046 6181569 12363138 18544707 37089414