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425745810 = 232572293329
BaseRepresentation
bin11001011000000…
…101110110010010
31002200010010110100
4121120011312102
51332442331220
6110125113230
713356531300
oct3130056622
91080103410
10425745810
111a9360146
12ba6b8816
136a2870c9
1440787270
152759bd90
hex19605d92

425745810 has 144 divisors (see below), whose sum is σ = 1332466200. Its totient is φ = 93929472.

The previous prime is 425745799. The next prime is 425745811. The reversal of 425745810 is 18547524.

425745810 is a `hidden beast` number, since 4 + 2 + 5 + 74 + 581 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 325405521 + 100340289 = 18039^2 + 10017^2 .

It is a super-2 number, since 2×4257458102 = 362518989465112200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (425745811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 126226 + ... + 129554.

Almost surely, 2425745810 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 425745810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (666233100).

425745810 is an abundant number, since it is smaller than the sum of its proper divisors (906720390).

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

425745810 is a wasteful number, since it uses less digits than its factorization.

425745810 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3385 (or 3375 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The square root of 425745810 is about 20633.6087488350. The cubic root of 425745810 is about 752.2868334368.

It can be divided in two parts, 42574 and 5810, that added together give a palindrome (48384).

The spelling of 425745810 in words is "four hundred twenty-five million, seven hundred forty-five thousand, eight hundred ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 29 30 35 42 45 49 58 63 70 87 90 98 105 126 145 147 174 203 210 245 261 290 294 315 406 435 441 490 522 609 630 735 870 882 1015 1218 1305 1421 1470 1827 2030 2205 2610 2842 3045 3329 3654 4263 4410 6090 6658 7105 8526 9135 9987 12789 14210 16645 18270 19974 21315 23303 25578 29961 33290 42630 46606 49935 59922 63945 69909 96541 99870 116515 127890 139818 149805 163121 193082 209727 233030 289623 299610 326242 349545 419454 482705 489363 579246 675787 699090 815605 868869 965410 978726 1048635 1351574 1448115 1468089 1631210 1737738 2027361 2097270 2446815 2896230 2936178 3378935 4054722 4344345 4730509 4893630 6082083 6757870 7340445 8688690 9461018 10136805 12164166 14191527 14680890 20273610 23652545 28383054 30410415 42574581 47305090 60820830 70957635 85149162 141915270 212872905 425745810