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45194136 = 23313413533
BaseRepresentation
bin1010110001100…
…1101110011000
310011001002200220
42230121232120
543032203021
64252400040
71056100221
oct254315630
9104032626
1045194136
1123569029
1213176020
139494ac0
146006248
153e7acc6
hex2b19b98

45194136 has 64 divisors (see below), whose sum is σ = 124679520. Its totient is φ = 13562880.

The previous prime is 45194117. The next prime is 45194137. The reversal of 45194136 is 63149154.

45194136 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 = 45194097 and 45194106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45194137) 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 15 ways as a sum of consecutive naturals, for example, 11026 + ... + 14558.

Almost surely, 245194136 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 45194136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62339760).

45194136 is an abundant number, since it is smaller than the sum of its proper divisors (79485384).

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

45194136 is a wasteful number, since it uses less digits than its factorization.

45194136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3596 (or 3592 counting only the distinct ones).

The product of its digits is 12960, while the sum is 33.

The square root of 45194136 is about 6722.6584027452. The cubic root of 45194136 is about 356.2000937170.

The spelling of 45194136 in words is "forty-five million, one hundred ninety-four thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 41 52 78 82 104 123 156 164 246 312 328 492 533 984 1066 1599 2132 3198 3533 4264 6396 7066 10599 12792 14132 21198 28264 42396 45929 84792 91858 137787 144853 183716 275574 289706 367432 434559 551148 579412 869118 1102296 1158824 1738236 1883089 3476472 3766178 5649267 7532356 11298534 15064712 22597068 45194136