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428158640 = 245713103571
BaseRepresentation
bin11001100001010…
…010111010110000
31002211122201020102
4121201102322300
51334102034030
6110252531532
713416200630
oct3141227260
91084581212
10428158640
111aa758a18
12bb480ba8
136a920410
1440c146c0
15278c6c45
hex19852eb0

428158640 has 160 divisors (see below), whose sum is σ = 1239254016. Its totient is φ = 133954560.

The previous prime is 428158631. The next prime is 428158663. The reversal of 428158640 is 46851824.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 428158594 and 428158603.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 749555 + ... + 750125.

Almost surely, 2428158640 is an apocalyptic number.

428158640 is a gapful number since it is divisible by the number (40) 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 428158640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (619627008).

428158640 is an abundant number, since it is smaller than the sum of its proper divisors (811095376).

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

428158640 is a wasteful number, since it uses less digits than its factorization.

428158640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 707 (or 701 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 38.

The square root of 428158640 is about 20691.9945872794. The cubic root of 428158640 is about 753.7053026821.

The spelling of 428158640 in words is "four hundred twenty-eight million, one hundred fifty-eight thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 35 40 52 56 65 70 80 91 103 104 112 130 140 182 206 208 260 280 364 412 455 515 520 560 571 721 728 824 910 1030 1040 1142 1339 1442 1456 1648 1820 2060 2284 2678 2855 2884 3605 3640 3997 4120 4568 5356 5710 5768 6695 7210 7280 7423 7994 8240 9136 9373 10712 11420 11536 13390 14420 14846 15988 18746 19985 21424 22840 26780 28840 29692 31976 37115 37492 39970 45680 46865 51961 53560 57680 58813 59384 63952 74230 74984 79940 93730 103922 107120 117626 118768 148460 149968 159880 187460 207844 235252 259805 294065 296920 319760 374920 411691 415688 470504 519610 588130 593840 749840 764569 823382 831376 941008 1039220 1176260 1529138 1646764 2058455 2078440 2352520 3058276 3293528 3822845 4116910 4156880 4705040 5351983 6116552 6587056 7645690 8233820 10703966 12233104 15291380 16467640 21407932 26759915 30582760 32935280 42815864 53519830 61165520 85631728 107039660 214079320 428158640