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56367840 = 2535432731
BaseRepresentation
bin1101011100000…
…1101011100000
310221001210010210
43113001223200
5103412232330
65332054120
71253055504
oct327015340
9127053123
1056367840
11298aaaa1
1216a64340
13b8a7969
1476b4304
154e368b0
hex35c1ae0

56367840 has 96 divisors (see below), whose sum is σ = 181754496. Its totient is φ = 14676480.

The previous prime is 56367811. The next prime is 56367877. The reversal of 56367840 is 4876365.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19275 + ... + 22005.

It is an arithmetic number, because the mean of its divisors is an integer number (1893276).

Almost surely, 256367840 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 56367840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90877248).

56367840 is an abundant number, since it is smaller than the sum of its proper divisors (125386656).

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

56367840 is a wasteful number, since it uses less digits than its factorization.

56367840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2792 (or 2784 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The square root of 56367840 is about 7507.8518898550. The cubic root of 56367840 is about 383.4220907686.

The spelling of 56367840 in words is "fifty-six million, three hundred sixty-seven thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 43 48 60 80 86 96 120 129 160 172 215 240 258 344 430 480 516 645 688 860 1032 1290 1376 1720 2064 2580 2731 3440 4128 5160 5462 6880 8193 10320 10924 13655 16386 20640 21848 27310 32772 40965 43696 54620 65544 81930 87392 109240 117433 131088 163860 218480 234866 262176 327720 352299 436960 469732 587165 655440 704598 939464 1174330 1310880 1409196 1761495 1878928 2348660 2818392 3522990 3757856 4697320 5636784 7045980 9394640 11273568 14091960 18789280 28183920 56367840