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2045253132 = 2233138317551
BaseRepresentation
bin111100111101000…
…0001011000001100
312021112111121212000
41321322001120030
513142041100012
6534540512300
7101453236056
oct17172013014
95245447760
102045253132
1195a545a4a
12490b4b690
1326795cc70
141558b88d6
15be850ddc
hex79e8160c

2045253132 has 96 divisors (see below), whose sum is σ = 5779522560. Its totient is φ = 621691200.

The previous prime is 2045253109. The next prime is 2045253137. The reversal of 2045253132 is 2313525402.

It is a happy number.

2045253132 is a `hidden beast` number, since 2 + 0 + 4 + 525 + 3 + 132 = 666.

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 = 2045253096 and 2045253105.

It is not an unprimeable number, because it can be changed into a prime (2045253137) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 107757 + ... + 125307.

It is an arithmetic number, because the mean of its divisors is an integer number (60203360).

Almost surely, 22045253132 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 2045253132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2889761280).

2045253132 is an abundant number, since it is smaller than the sum of its proper divisors (3734269428).

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

2045253132 is a wasteful number, since it uses less digits than its factorization.

2045253132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17660 (or 17652 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 2045253132 is about 45224.4749223250. The cubic root of 2045253132 is about 1269.3528295886.

Adding to 2045253132 its reverse (2313525402), we get a palindrome (4358778534).

The spelling of 2045253132 in words is "two billion, forty-five million, two hundred fifty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 83 108 117 156 166 234 249 332 351 468 498 702 747 996 1079 1404 1494 2158 2241 2988 3237 4316 4482 6474 8964 9711 12948 17551 19422 29133 35102 38844 52653 58266 70204 105306 116532 157959 210612 228163 315918 456326 473877 631836 684489 912652 947754 1368978 1456733 1895508 2053467 2737956 2913466 4106934 4370199 5826932 6160401 8213868 8740398 12320802 13110597 17480796 18937529 24641604 26221194 37875058 39331791 52442388 56812587 75750116 78663582 113625174 157327164 170437761 227250348 340875522 511313283 681751044 1022626566 2045253132