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56428440 = 233517139199
BaseRepresentation
bin1101011101000…
…0011110011000
310221011212021020
43113100132120
5103421202230
65333242440
71253430255
oct327203630
9127155236
1056428440
1129941582
1216a93420
13b8c9413
1476cc42c
154e49810
hex35d0798

56428440 has 128 divisors (see below), whose sum is σ = 181440000. Its totient is φ = 13989888.

The previous prime is 56428439. The next prime is 56428459. The reversal of 56428440 is 4482465.

56428440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 283461 + ... + 283659.

It is an arithmetic number, because the mean of its divisors is an integer number (1417500).

Almost surely, 256428440 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 56428440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90720000).

56428440 is an abundant number, since it is smaller than the sum of its proper divisors (125011560).

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

56428440 is a wasteful number, since it uses less digits than its factorization.

56428440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 33.

The square root of 56428440 is about 7511.8865806134. The cubic root of 56428440 is about 383.5594448404.

The spelling of 56428440 in words is "fifty-six million, four hundred twenty-eight thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 139 170 199 204 255 278 340 398 408 417 510 556 597 680 695 796 834 995 1020 1112 1194 1390 1592 1668 1990 2040 2085 2363 2388 2780 2985 3336 3383 3980 4170 4726 4776 5560 5970 6766 7089 7960 8340 9452 10149 11815 11940 13532 14178 16680 16915 18904 20298 23630 23880 27064 27661 28356 33830 35445 40596 47260 50745 55322 56712 67660 70890 81192 82983 94520 101490 110644 135320 138305 141780 165966 202980 221288 276610 283560 331932 405960 414915 470237 553220 663864 829830 940474 1106440 1410711 1659660 1880948 2351185 2821422 3319320 3761896 4702370 5642844 7053555 9404740 11285688 14107110 18809480 28214220 56428440