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1042657812 = 2233710912653
BaseRepresentation
bin111110001001011…
…011001000010100
32200122221111122000
4332021123020110
54113410022222
6251243435300
734560305460
oct7611331024
92618844560
101042657812
1149560a279
12251225b30
131380246b1
149c6934a0
156180a9ac
hex3e25b214

1042657812 has 96 divisors (see below), whose sum is σ = 3117945600. Its totient is φ = 295145856.

The previous prime is 1042657801. The next prime is 1042657829. The reversal of 1042657812 is 2187562401.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 76078 + ... + 88730.

It is an arithmetic number, because the mean of its divisors is an integer number (32478600).

Almost surely, 21042657812 is an apocalyptic number.

1042657812 is a gapful number since it is divisible by the number (12) 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 1042657812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1558972800).

1042657812 is an abundant number, since it is smaller than the sum of its proper divisors (2075287788).

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

1042657812 is a wasteful number, since it uses less digits than its factorization.

1042657812 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12782 (or 12774 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 1042657812 is about 32290.2123250994. The cubic root of 1042657812 is about 1014.0217424700.

The spelling of 1042657812 in words is "one billion, forty-two million, six hundred fifty-seven thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 109 126 189 218 252 327 378 436 654 756 763 981 1308 1526 1962 2289 2943 3052 3924 4578 5886 6867 9156 11772 12653 13734 20601 25306 27468 37959 41202 50612 75918 82404 88571 113877 151836 177142 227754 265713 341631 354284 455508 531426 683262 797139 1062852 1366524 1379177 1594278 2391417 2758354 3188556 4137531 4782834 5516708 8275062 9565668 9654239 12412593 16550124 19308478 24825186 28962717 37237779 38616956 49650372 57925434 74475558 86888151 115850868 148951116 173776302 260664453 347552604 521328906 1042657812