Search a number
-
+
45874640 = 245781919
BaseRepresentation
bin1010111011111…
…1110111010000
310012022200011202
42232333313100
543220442030
64315130332
71064633210
oct256776720
9105280152
1045874640
1123993329
12134439a8
139672776
146142240
154062745
hex2bbfdd0

45874640 has 40 divisors (see below), whose sum is σ = 121896960. Its totient is φ = 15728256.

The previous prime is 45874639. The next prime is 45874651. The reversal of 45874640 is 4647854.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 45874594 and 45874603.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40400 + ... + 41519.

It is an arithmetic number, because the mean of its divisors is an integer number (3047424).

Almost surely, 245874640 is an apocalyptic number.

45874640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45874640 is an abundant number, since it is smaller than the sum of its proper divisors (76022320).

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

45874640 is a wasteful number, since it uses less digits than its factorization.

45874640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81939 (or 81933 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 38.

The square root of 45874640 is about 6773.0820163350. The cubic root of 45874640 is about 357.9790048339.

The spelling of 45874640 in words is "forty-five million, eight hundred seventy-four thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 81919 163838 327676 409595 573433 655352 819190 1146866 1310704 1638380 2293732 2867165 3276760 4587464 5734330 6553520 9174928 11468660 22937320 45874640