Search a number
-
+
56921900 = 22527233349
BaseRepresentation
bin1101100100100…
…0111100101100
310222002221011112
43121020330230
5104033000100
65352011152
71260554030
oct331107454
9128087145
1056921900
112a1492a2
1217090ab8
13ba3cbc9
1477ba1c0
154ee5b35
hex3648f2c

56921900 has 72 divisors (see below), whose sum is σ = 142178400. Its totient is φ = 19376640.

The previous prime is 56921897. The next prime is 56921911. The reversal of 56921900 is 912965.

56921900 = T1 + T2 + ... + T698.

56921900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

56921900 is a nontrivial binomial coefficient, being equal to C(700, 3).

It is a super-2 number, since 2×569219002 = 6480205399220000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is the 698-th tetrahedral 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 23 ways as a sum of consecutive naturals, for example, 162926 + ... + 163274.

It is an arithmetic number, because the mean of its divisors is an integer number (1974700).

Almost surely, 256921900 is an apocalyptic number.

56921900 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 56921900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71089200).

56921900 is an abundant number, since it is smaller than the sum of its proper divisors (85256500).

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

56921900 is a wasteful number, since it uses less digits than its factorization.

56921900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 603 (or 596 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 32.

The square root of 56921900 is about 7544.6603634624. The cubic root of 56921900 is about 384.6742620634.

The spelling of 56921900 in words is "fifty-six million, nine hundred twenty-one thousand, nine hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 233 349 350 466 698 700 932 1165 1396 1631 1745 2330 2443 3262 3490 4660 4886 5825 6524 6980 8155 8725 9772 11650 12215 16310 17450 23300 24430 32620 34900 40775 48860 61075 81317 81550 122150 162634 163100 244300 325268 406585 569219 813170 1138438 1626340 2032925 2276876 2846095 4065850 5692190 8131700 11384380 14230475 28460950 56921900