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1073626464 = 253192272593
BaseRepresentation
bin111111111111100…
…011110101100000
32202211012212122010
4333333203311200
54144322021324
6254311312520
735414450211
oct7777436540
92684185563
101073626464
115010414a9
1225b67b740
13141578541
14a2835408
15643c6829
hex3ffe3d60

1073626464 has 96 divisors (see below), whose sum is σ = 2980817280. Its totient is φ = 337416192.

The previous prime is 1073626457. The next prime is 1073626469. The reversal of 1073626464 is 4646263701.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×10736264642 = 2305347568402286592, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1073626469) 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, 412752 + ... + 415344.

It is an arithmetic number, because the mean of its divisors is an integer number (31050180).

Almost surely, 21073626464 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 1073626464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1490408640).

1073626464 is an abundant number, since it is smaller than the sum of its proper divisors (1907190816).

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

1073626464 is a wasteful number, since it uses less digits than its factorization.

1073626464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2852 (or 2844 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 39.

The square root of 1073626464 is about 32766.2396988119. The cubic root of 1073626464 is about 1023.9633267302.

The spelling of 1073626464 in words is "one billion, seventy-three million, six hundred twenty-six thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 227 228 304 454 456 608 681 908 912 1362 1816 1824 2593 2724 3632 4313 5186 5448 7264 7779 8626 10372 10896 12939 15558 17252 20744 21792 25878 31116 34504 41488 49267 51756 62232 69008 82976 98534 103512 124464 138016 147801 197068 207024 248928 295602 394136 414048 588611 591204 788272 1177222 1182408 1576544 1765833 2354444 2364816 3531666 4708888 4729632 7063332 9417776 11183609 14126664 18835552 22367218 28253328 33550827 44734436 56506656 67101654 89468872 134203308 178937744 268406616 357875488 536813232 1073626464