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1052648688 = 243713534547
BaseRepresentation
bin111110101111100…
…010010011110000
32201100202002112110
4332233202103300
54123434224223
6252241525320
735041236420
oct7657422360
92640662473
101052648688
114a02135a3
12254643840
1313a112060
149db34480
1562630d93
hex3ebe24f0

1052648688 has 160 divisors (see below), whose sum is σ = 3410781696. Its totient is φ = 272323584.

The previous prime is 1052648683. The next prime is 1052648689. The reversal of 1052648688 is 8868462501.

It is a happy number.

It is a super-2 number, since 2×10526486882 = 2216138520696242688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1052648683) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 229231 + ... + 233777.

Almost surely, 21052648688 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 1052648688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1705390848).

1052648688 is an abundant number, since it is smaller than the sum of its proper divisors (2358133008).

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

1052648688 is a wasteful number, since it uses less digits than its factorization.

1052648688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4631 (or 4625 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 48.

The square root of 1052648688 is about 32444.5478932902. The cubic root of 1052648688 is about 1017.2502794578.

The spelling of 1052648688 in words is "one billion, fifty-two million, six hundred forty-eight thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 53 56 78 84 91 104 106 112 156 159 168 182 208 212 273 312 318 336 364 371 424 546 624 636 689 728 742 848 1092 1113 1272 1378 1456 1484 2067 2184 2226 2544 2756 2968 4134 4368 4452 4547 4823 5512 5936 8268 8904 9094 9646 11024 13641 14469 16536 17808 18188 19292 27282 28938 31829 33072 36376 38584 54564 57876 59111 63658 72752 77168 95487 109128 115752 118222 127316 177333 190974 218256 231504 236444 240991 254632 354666 381948 413777 472888 481982 509264 709332 722973 763896 827554 945776 963964 1241331 1418664 1445946 1527792 1655108 1686937 1927928 2482662 2837328 2891892 3132883 3310216 3373874 3855856 4965324 5060811 5783784 6265766 6620432 6747748 9398649 9930648 10121622 11567568 12531532 13495496 18797298 19861296 20243244 21930181 25063064 26990992 37594596 40486488 43860362 50126128 65790543 75189192 80972976 87720724 131581086 150378384 175441448 263162172 350882896 526324344 1052648688