Search a number
-
+
45531640 = 23571114783
BaseRepresentation
bin1010110110110…
…0000111111000
310011200020200001
42231230013320
543124003030
64303522344
71062004210
oct255540770
9104606601
1045531640
1123779660
12132b93b4
1395825cb
146093240
153ee5cca
hex2b6c1f8

45531640 has 64 divisors (see below), whose sum is σ = 127733760. Its totient is φ = 14190720.

The previous prime is 45531637. The next prime is 45531649. The reversal of 45531640 is 4613554.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 45531599 and 45531608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45531649) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4312 + ... + 10471.

It is an arithmetic number, because the mean of its divisors is an integer number (1995840).

Almost surely, 245531640 is an apocalyptic number.

45531640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45531640 is an abundant number, since it is smaller than the sum of its proper divisors (82202120).

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

45531640 is a wasteful number, since it uses less digits than its factorization.

45531640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14812 (or 14808 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

The square root of 45531640 is about 6747.7136868720. The cubic root of 45531640 is about 357.0845811200.

The spelling of 45531640 in words is "forty-five million, five hundred thirty-one thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 88 110 140 154 220 280 308 385 440 616 770 1540 3080 14783 29566 59132 73915 103481 118264 147830 162613 206962 295660 325226 413924 517405 591320 650452 813065 827848 1034810 1138291 1300904 1626130 2069620 2276582 3252260 4139240 4553164 5691455 6504520 9106328 11382910 22765820 45531640