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45609036 = 223111672069
BaseRepresentation
bin1010110111111…
…1000001001100
310011211011211120
42231333001030
543133442121
64305320540
71062445644
oct255770114
9104734746
1045609036
1123821820
1213336150
1395ab8c5
1460b3524
15400dbc6
hex2b7f04c

45609036 has 48 divisors (see below), whose sum is σ = 116847360. Its totient is φ = 13731520.

The previous prime is 45609017. The next prime is 45609037. The reversal of 45609036 is 63090654.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 45608988 and 45609006.

It is not an unprimeable number, because it can be changed into a prime (45609037) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21010 + ... + 23078.

It is an arithmetic number, because the mean of its divisors is an integer number (2434320).

Almost surely, 245609036 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45609036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58423680).

45609036 is an abundant number, since it is smaller than the sum of its proper divisors (71238324).

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

45609036 is a wasteful number, since it uses less digits than its factorization.

45609036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2254 (or 2252 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 33.

The square root of 45609036 is about 6753.4462313696. The cubic root of 45609036 is about 357.2867941574.

The spelling of 45609036 in words is "forty-five million, six hundred nine thousand, thirty-six".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 167 334 501 668 1002 1837 2004 2069 3674 4138 5511 6207 7348 8276 11022 12414 22044 22759 24828 45518 68277 91036 136554 273108 345523 691046 1036569 1382092 2073138 3800753 4146276 7601506 11402259 15203012 22804518 45609036