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56440000 = 26541783
BaseRepresentation
bin1101011101001…
…1010011000000
310221012110010101
43113103103000
5103422040000
65333412144
71253506051
oct327232300
9127173111
1056440000
112994a231
1216a9a054
13b901766
1476d2728
154e4ce6a
hex35d34c0

56440000 has 140 divisors (see below), whose sum is σ = 149970744. Its totient is φ = 20992000.

The previous prime is 56439989. The next prime is 56440009. The reversal of 56440000 is 4465.

56440000 is a nontrivial binomial coefficient, being equal to C(10625, 2).

It is a self number, because there is not a number n which added to its sum of digits gives 56440000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56440009) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 679959 + ... + 680041.

Almost surely, 256440000 is an apocalyptic number.

56440000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

56440000 is the 10624-th triangular number.

56440000 is the 3542-nd centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74985372).

56440000 is an abundant number, since it is smaller than the sum of its proper divisors (93530744).

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

56440000 is an equidigital number, since it uses as much as digits as its factorization.

56440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 56440000 is about 7512.6559883972. The cubic root of 56440000 is about 383.5856352061.

Adding to 56440000 its reverse (4465), we get a palindrome (56444465).

The spelling of 56440000 in words is "fifty-six million, four hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 17 20 25 32 34 40 50 64 68 80 83 85 100 125 136 160 166 170 200 250 272 320 332 340 400 415 425 500 544 625 664 680 800 830 850 1000 1088 1250 1328 1360 1411 1600 1660 1700 2000 2075 2125 2500 2656 2720 2822 3320 3400 4000 4150 4250 5000 5312 5440 5644 6640 6800 7055 8000 8300 8500 10000 10375 10625 11288 13280 13600 14110 16600 17000 20000 20750 21250 22576 26560 27200 28220 33200 34000 35275 40000 41500 42500 45152 51875 56440 66400 68000 70550 83000 85000 90304 103750 112880 132800 136000 141100 166000 170000 176375 207500 225760 282200 332000 340000 352750 415000 451520 564400 664000 680000 705500 830000 881875 1128800 1411000 1660000 1763750 2257600 2822000 3320000 3527500 5644000 7055000 11288000 14110000 28220000 56440000