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253546942 = 211172997241
BaseRepresentation
bin11110001110011…
…01000110111110
3122200002112000111
433013031012332
51004402000232
641054220234
76166053625
oct1707150676
9580075014
10253546942
11120136630
1270ab467a
13406b4c9c
14259606bc
15173d5047
hexf1cd1be

253546942 has 64 divisors (see below), whose sum is σ = 461039040. Its totient is φ = 103219200.

The previous prime is 253546933. The next prime is 253546949. The reversal of 253546942 is 249645352.

It is a junction number, because it is equal to n+sod(n) for n = 253546895 and 253546904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253546949) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1051942 + ... + 1052182.

It is an arithmetic number, because the mean of its divisors is an integer number (7203735).

Almost surely, 2253546942 is an apocalyptic number.

253546942 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

253546942 is a deficient number, since it is larger than the sum of its proper divisors (207492098).

253546942 is a wasteful number, since it uses less digits than its factorization.

253546942 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397.

The product of its digits is 259200, while the sum is 40.

The square root of 253546942 is about 15923.1574130258. The cubic root of 253546942 is about 632.9257899455.

The spelling of 253546942 in words is "two hundred fifty-three million, five hundred forty-six thousand, nine hundred forty-two".

Divisors: 1 2 11 17 22 29 34 58 97 187 194 241 319 374 482 493 638 986 1067 1649 2134 2651 2813 3298 4097 5302 5423 5626 6989 8194 10846 13978 18139 23377 30943 36278 45067 46754 47821 61886 76879 90134 95642 118813 153758 237626 257147 397409 514294 526031 677933 794818 1052062 1306943 1355866 2613886 4371499 7457263 8742998 11524861 14914526 23049722 126773471 253546942