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45704790 = 23351091553
BaseRepresentation
bin1010111001011…
…0011001010110
310012000001012000
42232112121112
543200023130
64311340130
71063325055
oct256263126
9105001160
1045704790
112388775a
1213381646
139613371
1460da39c
15402c260
hex2b96656

45704790 has 64 divisors (see below), whose sum is σ = 123076800. Its totient is φ = 12068352.

The previous prime is 45704779. The next prime is 45704797. The reversal of 45704790 is 9740754.

It is a happy number.

It is a super-4 number, since 4×457047904 (a number of 32 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45704797) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28654 + ... + 30206.

It is an arithmetic number, because the mean of its divisors is an integer number (1923075).

Almost surely, 245704790 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45704790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61538400).

45704790 is an abundant number, since it is smaller than the sum of its proper divisors (77372010).

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

45704790 is a wasteful number, since it uses less digits than its factorization.

45704790 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1678 (or 1672 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 45704790 is about 6760.5317838170. The cubic root of 45704790 is about 357.5366549209.

The spelling of 45704790 in words is "forty-five million, seven hundred four thousand, seven hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 109 135 218 270 327 545 654 981 1090 1553 1635 1962 2943 3106 3270 4659 4905 5886 7765 9318 9810 13977 14715 15530 23295 27954 29430 41931 46590 69885 83862 139770 169277 209655 338554 419310 507831 846385 1015662 1523493 1692770 2539155 3046986 4570479 5078310 7617465 9140958 15234930 22852395 45704790