[go: up one dir, main page]

Search a number
-
+
45195876 = 223211611871
BaseRepresentation
bin1010110001101…
…0001001100100
310011001012002100
42230122021210
543032232001
64252412100
71056105255
oct254321144
9104035070
1045195876
112356a370
1213177030
13949582b
146006b2c
153e7b586
hex2b1a264

45195876 has 72 divisors (see below), whose sum is σ = 126741888. Its totient is φ = 13464000.

The previous prime is 45195859. The next prime is 45195893. The reversal of 45195876 is 67859154.

It is an interprime number because it is at equal distance from previous prime (45195859) and next prime (45195893).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23221 + ... + 25091.

It is an arithmetic number, because the mean of its divisors is an integer number (1760304).

Almost surely, 245195876 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 45195876, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63370944).

45195876 is an abundant number, since it is smaller than the sum of its proper divisors (81546012).

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

45195876 is a wasteful number, since it uses less digits than its factorization.

45195876 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1953 (or 1948 counting only the distinct ones).

The product of its digits is 302400, while the sum is 45.

The square root of 45195876 is about 6722.7878145900. The cubic root of 45195876 is about 356.2046649605.

Subtracting 45195876 from its reverse (67859154), we obtain a triangular number (22663278 = T6732).

The spelling of 45195876 in words is "forty-five million, one hundred ninety-five thousand, eight hundred seventy-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 61 66 99 122 132 183 198 244 366 396 549 671 732 1098 1342 1871 2013 2196 2684 3742 4026 5613 6039 7484 8052 11226 12078 16839 20581 22452 24156 33678 41162 61743 67356 82324 114131 123486 185229 228262 246972 342393 370458 456524 684786 740916 1027179 1255441 1369572 2054358 2510882 3766323 4108716 5021764 7532646 11298969 15065292 22597938 45195876