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253282051 = 11414331297
BaseRepresentation
bin11110001100011…
…00011100000011
3122122121001122201
433012030130003
51004320011201
641044414031
76163601431
oct1706143403
9578531581
10253282051
1111aa75610
12709a7317
1340621549
14258d1d51
1517381801
hexf18c703

253282051 has 16 divisors (see below), whose sum is σ = 283919328. Its totient is φ = 223948800.

The previous prime is 253282021. The next prime is 253282067. The reversal of 253282051 is 150282352.

It is a 12-Lehmer number, since φ(253282051) divides (253282051-1)12.

It is a cyclic number.

It is not a de Polignac number, because 253282051 - 213 = 253273859 is a prime.

253282051 is a modest number, since divided by 282051 gives 253 as remainder.

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (253282021) 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 15 ways as a sum of consecutive naturals, for example, 194635 + ... + 195931.

It is an arithmetic number, because the mean of its divisors is an integer number (17744958).

Almost surely, 2253282051 is an apocalyptic number.

253282051 is a deficient number, since it is larger than the sum of its proper divisors (30637277).

253282051 is a wasteful number, since it uses less digits than its factorization.

253282051 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1782.

The product of its (nonzero) digits is 4800, while the sum is 28.

The square root of 253282051 is about 15914.8374481174. The cubic root of 253282051 is about 632.7052985395.

The spelling of 253282051 in words is "two hundred fifty-three million, two hundred eighty-two thousand, fifty-one".

Divisors: 1 11 41 433 451 1297 4763 14267 17753 53177 195283 561601 584947 6177611 23025641 253282051