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2523034542 = 237234761911
BaseRepresentation
bin1001011001100010…
…0111001110101110
320111211112102201210
42112120213032232
520131344101132
61054205215250
7116344303560
oct22630471656
96454472653
102523034542
111085207216
125a4b61526
13312935b62
1419d129330
15eb77abcc
hex966273ae

2523034542 has 128 divisors (see below), whose sum is σ = 6253314048. Its totient is φ = 663062400.

The previous prime is 2523034537. The next prime is 2523034573. The reversal of 2523034542 is 2454303252.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2769067 + ... + 2769977.

It is an arithmetic number, because the mean of its divisors is an integer number (48854016).

Almost surely, 22523034542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2523034542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3126657024).

2523034542 is an abundant number, since it is smaller than the sum of its proper divisors (3730279506).

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

2523034542 is a wasteful number, since it uses less digits than its factorization.

2523034542 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1054.

The product of its (nonzero) digits is 28800, while the sum is 30.

The square root of 2523034542 is about 50229.8172602688. The cubic root of 2523034542 is about 1361.3644290405.

Adding to 2523034542 its reverse (2454303252), we get a palindrome (4977337794).

The spelling of 2523034542 in words is "two billion, five hundred twenty-three million, thirty-four thousand, five hundred forty-two".

Divisors: 1 2 3 6 7 14 21 23 42 46 47 61 69 94 122 138 141 161 183 282 322 329 366 427 483 658 854 911 966 987 1081 1281 1403 1822 1974 2162 2562 2733 2806 2867 3243 4209 5466 5734 6377 6486 7567 8418 8601 9821 12754 15134 17202 19131 19642 20069 20953 22701 29463 38262 40138 41906 42817 45402 55571 58926 60207 62859 65941 85634 111142 120414 125718 128451 131882 146671 166713 197823 256902 293342 299719 333426 388997 395646 440013 461587 599438 777994 880026 899157 923174 984791 1166991 1278133 1384761 1798314 1969582 2333982 2556266 2611837 2769522 2954373 3834399 5223674 5908746 6893537 7668798 7835511 8946931 13787074 15671022 17893862 18282859 20680611 26840793 36565718 41361222 53681586 54848577 60072251 109697154 120144502 180216753 360433506 420505757 841011514 1261517271 2523034542