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36145845 = 345312879
BaseRepresentation
bin1000100111100…
…0101010110101
32112000101210000
42021320222311
533223131340
63330421513
7616143321
oct211705265
975011700
1036145845
11194489aa
1210131899
137647498
144b2c981
15328ed30
hex2278ab5

36145845 has 40 divisors (see below), whose sum is σ = 66908160. Its totient is φ = 18649440.

The previous prime is 36145831. The next prime is 36145871. The reversal of 36145845 is 54854163.

It is a happy number.

36145845 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 36145845 - 217 = 36014773 is a prime.

It is a super-2 number, since 2×361458452 = 2613044221528050, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 11116 + ... + 13994.

It is an arithmetic number, because the mean of its divisors is an integer number (1672704).

Almost surely, 236145845 is an apocalyptic number.

It is an amenable number.

36145845 is a deficient number, since it is larger than the sum of its proper divisors (30762315).

36145845 is a wasteful number, since it uses less digits than its factorization.

36145845 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2927 (or 2918 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 36145845 is about 6012.1414654015. The cubic root of 36145845 is about 330.6380218522.

It can be divided in two parts, 36 and 145845, that multiplied together give a triangular number (5250420 = T3240).

The spelling of 36145845 in words is "thirty-six million, one hundred forty-five thousand, eight hundred forty-five".

Divisors: 1 3 5 9 15 27 31 45 81 93 135 155 279 405 465 837 1395 2511 2879 4185 8637 12555 14395 25911 43185 77733 89249 129555 233199 267747 388665 446245 803241 1165995 1338735 2409723 4016205 7229169 12048615 36145845