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56800153 = 3153181191
BaseRepresentation
bin1101100010101…
…1001110011001
310221212202011101
43120223032121
5104020101103
65345231401
71256536054
oct330531631
9127782141
1056800153
112a075883
1217032561
13b9c9677
147787a9b
154ebea1d
hex362b399

56800153 has 16 divisors (see below), whose sum is σ = 60383232. Its totient is φ = 53352000.

The previous prime is 56800147. The next prime is 56800169. The reversal of 56800153 is 35100865.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-56800153 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (56800103) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 297288 + ... + 297478.

It is an arithmetic number, because the mean of its divisors is an integer number (3773952).

Almost surely, 256800153 is an apocalyptic number.

56800153 is a gapful number since it is divisible by the number (53) formed by its first and last digit.

It is an amenable number.

56800153 is a deficient number, since it is larger than the sum of its proper divisors (3583079).

56800153 is a wasteful number, since it uses less digits than its factorization.

56800153 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456.

The product of its (nonzero) digits is 3600, while the sum is 28.

The square root of 56800153 is about 7536.5876230559. The cubic root of 56800153 is about 384.3998137020.

It can be divided in two parts, 56800 and 153, that added together give a triangular number (56953 = T337).

The spelling of 56800153 in words is "fifty-six million, eight hundred thousand, one hundred fifty-three".

Divisors: 1 31 53 181 191 1643 5611 5921 9593 10123 34571 297383 313813 1071701 1832263 56800153