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1028264640 = 26351382393
BaseRepresentation
bin111101010010100…
…001001011000000
32122122212020220120
4331102201023000
54101213432030
6250011140240
734324051044
oct7522411300
92578766816
101028264640
11488479497
12248444680
13135055320
149a7c8024
1560416010
hex3d4a12c0

1028264640 has 112 divisors (see below), whose sum is σ = 3515916768. Its totient is φ = 253108224.

The previous prime is 1028264639. The next prime is 1028264647. The reversal of 1028264640 is 464628201.

It is not an unprimeable number, because it can be changed into a prime (1028264647) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28717 + ... + 53676.

It is an arithmetic number, because the mean of its divisors is an integer number (31392114).

Almost surely, 21028264640 is an apocalyptic number.

1028264640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1028264640 is an abundant number, since it is smaller than the sum of its proper divisors (2487652128).

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

1028264640 is a wasteful number, since it uses less digits than its factorization.

1028264640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82426 (or 82416 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 1028264640 is about 32066.5657656070. The cubic root of 1028264640 is about 1009.3341492412.

The spelling of 1028264640 in words is "one billion, twenty-eight million, two hundred sixty-four thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 64 65 78 80 96 104 120 130 156 160 192 195 208 240 260 312 320 390 416 480 520 624 780 832 960 1040 1248 1560 2080 2496 3120 4160 6240 12480 82393 164786 247179 329572 411965 494358 659144 823930 988716 1071109 1235895 1318288 1647860 1977432 2142218 2471790 2636576 3213327 3295720 3954864 4284436 4943580 5273152 5355545 6426654 6591440 7909728 8568872 9887160 10711090 12853308 13182880 15819456 16066635 17137744 19774320 21422180 25706616 26365760 32133270 34275488 39548640 42844360 51413232 64266540 68550976 79097280 85688720 102826464 128533080 171377440 205652928 257066160 342754880 514132320 1028264640