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2045444232 = 2331331732897
BaseRepresentation
bin111100111101011…
…0000000010001000
312021112212022222210
41321322300002020
513142113203412
6534544545120
7101454663156
oct17172600210
95245768883
102045444232
1195a666587
124910221a0
132679c8c40
141559283d6
15be88c83c
hex79eb0088

2045444232 has 128 divisors (see below), whose sum is σ = 5764469760. Its totient is φ = 600514560.

The previous prime is 2045444227. The next prime is 2045444237. The reversal of 2045444232 is 2324445402.

It is an interprime number because it is at equal distance from previous prime (2045444227) and next prime (2045444237).

It is a self number, because there is not a number n which added to its sum of digits gives 2045444232.

It is not an unprimeable number, because it can be changed into a prime (2045444237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 704608 + ... + 707504.

It is an arithmetic number, because the mean of its divisors is an integer number (45034920).

Almost surely, 22045444232 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 2045444232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2882234880).

2045444232 is an abundant number, since it is smaller than the sum of its proper divisors (3719025528).

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

2045444232 is a wasteful number, since it uses less digits than its factorization.

2045444232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3023 (or 3019 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 30.

The square root of 2045444232 is about 45226.5876669908. The cubic root of 2045444232 is about 1269.3923627182.

Adding to 2045444232 its reverse (2324445402), we get a palindrome (4369889634).

The spelling of 2045444232 in words is "two billion, forty-five million, four hundred forty-four thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 31 39 52 62 73 78 93 104 124 146 156 186 219 248 292 312 372 403 438 584 744 806 876 949 1209 1612 1752 1898 2263 2418 2847 2897 3224 3796 4526 4836 5694 5794 6789 7592 8691 9052 9672 11388 11588 13578 17382 18104 22776 23176 27156 29419 34764 37661 54312 58838 69528 75322 88257 89807 112983 117676 150644 176514 179614 211481 225966 235352 269421 301288 353028 359228 422962 451932 538842 634443 706056 718456 845924 903864 1077684 1167491 1268886 1691848 2155368 2334982 2537772 2749253 3502473 4669964 5075544 5498506 6555911 7004946 8247759 9339928 10997012 13111822 14009892 16495518 19667733 21994024 26223644 28019784 32991036 39335466 52447288 65982072 78670932 85226843 157341864 170453686 255680529 340907372 511361058 681814744 1022722116 2045444232