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45413936 = 24171031621
BaseRepresentation
bin1010110100111…
…1011000110000
310011110021012122
42231033120300
543111221221
64301213412
71061004101
oct255173060
9104407178
1045413936
11236a9187
1213261268
139540b69
1460623a8
153ec0eab
hex2b4f630

45413936 has 40 divisors (see below), whose sum is σ = 94127904. Its totient is φ = 21150720.

The previous prime is 45413923. The next prime is 45413947. The reversal of 45413936 is 63931454.

It is a happy number.

45413936 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 45413896 and 45413905.

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 7 ways as a sum of consecutive naturals, for example, 27206 + ... + 28826.

Almost surely, 245413936 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 45413936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47063952).

45413936 is an abundant number, since it is smaller than the sum of its proper divisors (48713968).

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

45413936 is a wasteful number, since it uses less digits than its factorization.

45413936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1749 (or 1743 counting only the distinct ones).

The product of its digits is 38880, while the sum is 35.

The square root of 45413936 is about 6738.9862739139. The cubic root of 45413936 is about 356.7766153978.

The spelling of 45413936 in words is "forty-five million, four hundred thirteen thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 16 17 34 68 103 136 206 272 412 824 1621 1648 1751 3242 3502 6484 7004 12968 14008 25936 27557 28016 55114 110228 166963 220456 333926 440912 667852 1335704 2671408 2838371 5676742 11353484 22706968 45413936