Search a number
-
+
45671040 = 27345881
BaseRepresentation
bin1010111000111…
…0001010000000
310011221022220000
42232032022000
543142433130
64310520000
71063124502
oct256161200
9104838800
1045671040
1123864368
1213366000
139600bac
1460cbd72
154022260
hex2b8e280

45671040 has 160 divisors (see below), whose sum is σ = 163284660. Its totient is φ = 12165120.

The previous prime is 45671023. The next prime is 45671047. The reversal of 45671040 is 4017654.

It can be written as a sum of positive squares in 2 ways, for example, as 42928704 + 2742336 = 6552^2 + 1656^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 45670995 and 45671013.

It is not an unprimeable number, because it can be changed into a prime (45671047) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 51400 + ... + 52280.

Almost surely, 245671040 is an apocalyptic number.

45671040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45671040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81642330).

45671040 is an abundant number, since it is smaller than the sum of its proper divisors (117613620).

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

45671040 is an equidigital number, since it uses as much as digits as its factorization.

45671040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 912 (or 891 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 45671040 is about 6758.0352174282. The cubic root of 45671040 is about 357.4486274332.

Adding to 45671040 its reverse (4017654), we get a palindrome (49688694).

The spelling of 45671040 in words is "forty-five million, six hundred seventy-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 81 90 96 108 120 128 135 144 160 162 180 192 216 240 270 288 320 324 360 384 405 432 480 540 576 640 648 720 810 864 881 960 1080 1152 1296 1440 1620 1728 1762 1920 2160 2592 2643 2880 3240 3456 3524 4320 4405 5184 5286 5760 6480 7048 7929 8640 8810 10368 10572 12960 13215 14096 15858 17280 17620 21144 23787 25920 26430 28192 31716 35240 39645 42288 47574 51840 52860 56384 63432 70480 71361 79290 84576 95148 105720 112768 118935 126864 140960 142722 158580 169152 190296 211440 237870 253728 281920 285444 317160 338304 356805 380592 422880 475740 507456 563840 570888 634320 713610 761184 845760 951480 1014912 1141776 1268640 1427220 1522368 1691520 1902960 2283552 2537280 2854440 3044736 3805920 4567104 5074560 5708880 7611840 9134208 11417760 15223680 22835520 45671040