Search a number
-
+
45494946 = 235743311
BaseRepresentation
bin1010110110001…
…1001010100010
310011121101100000
42231203022202
543121314241
64303040430
71061462220
oct255431242
9104541300
1045494946
1123754032
12132a0116
13956b9b3
146083b10
153ed9eb6
hex2b632a2

45494946 has 96 divisors (see below), whose sum is σ = 119927808. Its totient is φ = 12655440.

The previous prime is 45494927. The next prime is 45494947. The reversal of 45494946 is 64949454.

It is a super-2 number, since 2×454949462 = 4139580223085832, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45494947) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 146131 + ... + 146441.

It is an arithmetic number, because the mean of its divisors is an integer number (1249248).

Almost surely, 245494946 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45494946, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59963904).

45494946 is an abundant number, since it is smaller than the sum of its proper divisors (74432862).

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

45494946 is a wasteful number, since it uses less digits than its factorization.

45494946 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378 (or 366 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The square root of 45494946 is about 6744.9941438077. The cubic root of 45494946 is about 356.9886303843.

The spelling of 45494946 in words is "forty-five million, four hundred ninety-four thousand, nine hundred forty-six".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 43 54 63 81 86 126 129 162 189 243 258 301 311 378 387 486 567 602 622 774 903 933 1134 1161 1701 1806 1866 2177 2322 2709 2799 3402 3483 4354 5418 5598 6531 6966 8127 8397 10449 13062 13373 16254 16794 19593 20898 24381 25191 26746 39186 40119 48762 50382 58779 73143 75573 80238 93611 117558 120357 146286 151146 176337 187222 240714 280833 352674 361071 529011 561666 722142 842499 1058022 1083213 1684998 2166426 2527497 3249639 5054994 6499278 7582491 15164982 22747473 45494946