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2490135228 = 22327291272683
BaseRepresentation
bin1001010001101100…
…0111001010111100
320102112121222100200
42110123013022330
520044433311403
61051032123500
7115464541320
oct22433071274
96375558320
102490135228
1110686864a9
12595b36590
13308b872c9
14198a03980
15e892cca3
hex946c72bc

2490135228 has 144 divisors (see below), whose sum is σ = 7503175680. Its totient is φ = 681270912.

The previous prime is 2490135223. The next prime is 2490135259. The reversal of 2490135228 is 8225310942.

It is a happy number.

2490135228 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×24901352282 = 12401546907453223968, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2490135192 and 2490135201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2490135223) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 926775 + ... + 929457.

Almost surely, 22490135228 is an apocalyptic number.

2490135228 is a gapful number since it is divisible by the number (28) 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 2490135228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3751587840).

2490135228 is an abundant number, since it is smaller than the sum of its proper divisors (5013040452).

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

2490135228 is a wasteful number, since it uses less digits than its factorization.

2490135228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2856 (or 2851 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 2490135228 is about 49901.2547738030. The cubic root of 2490135228 is about 1355.4213144091.

The spelling of 2490135228 in words is "two billion, four hundred ninety million, one hundred thirty-five thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 29 36 42 58 63 84 87 116 126 127 174 203 252 254 261 348 381 406 508 522 609 762 812 889 1044 1143 1218 1524 1778 1827 2286 2436 2667 2683 3556 3654 3683 4572 5334 5366 7308 7366 8001 8049 10668 10732 11049 14732 16002 16098 18781 22098 24147 25781 32004 32196 33147 37562 44196 48294 51562 56343 66294 75124 77343 77807 96588 103124 112686 132588 154686 155614 169029 225372 232029 233421 309372 311228 338058 340741 464058 466842 544649 676116 681482 700263 928116 933684 1022223 1089298 1362964 1400526 1633947 2044446 2178596 2385187 2801052 3066669 3267894 4088892 4770374 4901841 6133338 6535788 7155561 9540748 9803682 9881489 12266676 14311122 19607364 19762978 21466683 28622244 29644467 39525956 42933366 59288934 69170423 85866732 88933401 118577868 138340846 177866802 207511269 276681692 355733604 415022538 622533807 830045076 1245067614 2490135228