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276444868 = 2272731392
BaseRepresentation
bin10000011110100…
…011011011000100
3201021011212001211
4100132203123010
51031232213433
643233101204
76564512500
oct2036433304
9637155054
10276444868
11132056137
12786b7804
134537145b
1428a01300
15194098cd
hex107a36c4

276444868 has 54 divisors (see below), whose sum is σ = 574605486. Its totient is φ = 116012736.

The previous prime is 276444841. The next prime is 276444869. The reversal of 276444868 is 868444672.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 242362624 + 34082244 = 15568^2 + 5838^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (276444869) 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 17 ways as a sum of consecutive naturals, for example, 1988743 + ... + 1988881.

Almost surely, 2276444868 is an apocalyptic number.

276444868 is a gapful number since it is divisible by the number (28) 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 276444868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287302743).

276444868 is an abundant number, since it is smaller than the sum of its proper divisors (298160618).

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

276444868 is a wasteful number, since it uses less digits than its factorization.

276444868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369 (or 221 counting only the distinct ones).

The product of its digits is 2064384, while the sum is 49.

The square root of 276444868 is about 16626.6312883879. The cubic root of 276444868 is about 651.4326333765.

The spelling of 276444868 in words is "two hundred seventy-six million, four hundred forty-four thousand, eight hundred sixty-eight".

Divisors: 1 2 4 7 14 28 49 73 98 139 146 196 278 292 511 556 973 1022 1946 2044 3577 3892 6811 7154 10147 13622 14308 19321 20294 27244 38642 40588 71029 77284 135247 142058 270494 284116 497203 540988 946729 994406 1410433 1893458 1988812 2820866 3786916 5641732 9873031 19746062 39492124 69111217 138222434 276444868