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56348460 = 2234574969
BaseRepresentation
bin1101011011110…
…0111100101100
310221000210120000
43112330330230
5103411122320
65331424300
71252645140
oct326747454
9127023500
1056348460
1129897483
1216a55090
13b89bbac
1476ab220
154e30c90
hex35bcf2c

56348460 has 120 divisors (see below), whose sum is σ = 202060320. Its totient is φ = 12877056.

The previous prime is 56348443. The next prime is 56348497. The reversal of 56348460 is 6484365.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8856 + ... + 13824.

It is an arithmetic number, because the mean of its divisors is an integer number (1683836).

Almost surely, 256348460 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 56348460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101030160).

56348460 is an abundant number, since it is smaller than the sum of its proper divisors (145711860).

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

56348460 is a wasteful number, since it uses less digits than its factorization.

56348460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4997 (or 4986 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 56348460 is about 7506.5611301048. The cubic root of 56348460 is about 383.3781438899.

The spelling of 56348460 in words is "fifty-six million, three hundred forty-eight thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 81 84 90 105 108 126 135 140 162 180 189 210 252 270 315 324 378 405 420 540 567 630 756 810 945 1134 1260 1620 1890 2268 2835 3780 4969 5670 9938 11340 14907 19876 24845 29814 34783 44721 49690 59628 69566 74535 89442 99380 104349 134163 139132 149070 173915 178884 208698 223605 268326 298140 313047 347830 402489 417396 447210 521745 536652 626094 670815 695660 804978 894420 939141 1043490 1252188 1341630 1565235 1609956 1878282 2012445 2086980 2683260 2817423 3130470 3756564 4024890 4695705 5634846 6260940 8049780 9391410 11269692 14087115 18782820 28174230 56348460