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248268956 = 221331233661
BaseRepresentation
bin11101100110001…
…00100010011100
3122022011100222112
432303010202130
51002024101311
640345133152
76103152125
oct1663044234
9568140875
10248268956
11118161161
126b18a1b8
133c587810
1424d8904c
1516be128b
hexecc489c

248268956 has 48 divisors (see below), whose sum is σ = 485791488. Its totient is φ = 110246400.

The previous prime is 248268949. The next prime is 248268989. The reversal of 248268956 is 659862842.

It is a congruent number.

It is an unprimeable 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 15 ways as a sum of consecutive naturals, for example, 375266 + ... + 375926.

It is an arithmetic number, because the mean of its divisors is an integer number (10120656).

Almost surely, 2248268956 is an apocalyptic number.

248268956 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

248268956 is a deficient number, since it is larger than the sum of its proper divisors (237522532).

248268956 is a wasteful number, since it uses less digits than its factorization.

248268956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 942 (or 940 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 50.

The square root of 248268956 is about 15756.5527955832. The cubic root of 248268956 is about 628.5031702443.

The spelling of 248268956 in words is "two hundred forty-eight million, two hundred sixty-eight thousand, nine hundred fifty-six".

Divisors: 1 2 4 13 26 31 52 62 124 233 403 466 661 806 932 1322 1612 2644 3029 6058 7223 8593 12116 14446 17186 20491 28892 34372 40982 81964 93899 154013 187798 266383 308026 375596 532766 616052 1065532 2002169 4004338 4774403 8008676 9548806 19097612 62067239 124134478 248268956