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56435500 = 22531131331
BaseRepresentation
bin1101011101001…
…0001100101100
310221012012221201
43113102030230
5103421414000
65333335244
71253456662
oct327221454
9127165851
1056435500
1129946910
1216a97524
13b8cc6b4
1476d0c32
154e4b96a
hex35d232c

56435500 has 96 divisors (see below), whose sum is σ = 139216896. Its totient is φ = 19800000.

The previous prime is 56435459. The next prime is 56435501. The reversal of 56435500 is 553465.

56435500 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 not an unprimeable number, because it can be changed into a prime (56435501) by changing a digit.

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, 170335 + ... + 170665.

It is an arithmetic number, because the mean of its divisors is an integer number (1450176).

Almost surely, 256435500 is an apocalyptic number.

56435500 is a gapful number since it is divisible by the number (50) 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 56435500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69608448).

56435500 is an abundant number, since it is smaller than the sum of its proper divisors (82781396).

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

56435500 is a wasteful number, since it uses less digits than its factorization.

56435500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 28.

The square root of 56435500 is about 7512.3564878139. The cubic root of 56435500 is about 383.5754404197.

Adding to 56435500 its reverse (553465), we get a palindrome (56988965).

The spelling of 56435500 in words is "fifty-six million, four hundred thirty-five thousand, five hundred".

Divisors: 1 2 4 5 10 11 20 22 25 31 44 50 55 62 100 110 124 125 155 220 250 275 310 331 341 500 550 620 662 682 775 1100 1324 1364 1375 1550 1655 1705 2750 3100 3310 3410 3641 3875 5500 6620 6820 7282 7750 8275 8525 10261 14564 15500 16550 17050 18205 20522 33100 34100 36410 41044 41375 42625 51305 72820 82750 85250 91025 102610 112871 165500 170500 182050 205220 225742 256525 364100 451484 455125 513050 564355 910250 1026100 1128710 1282625 1820500 2257420 2565250 2821775 5130500 5643550 11287100 14108875 28217750 56435500