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249706968 = 23371978229
BaseRepresentation
bin11101110001000…
…11100111011000
3122101212102120020
432320203213120
51002411110333
640440030440
76121321440
oct1670434730
9571772506
10249706968
11118a535a5
126b762420
133c96c204
1425241120
1516dc73b3
hexee239d8

249706968 has 64 divisors (see below), whose sum is σ = 751008000. Its totient is φ = 67588992.

The previous prime is 249706957. The next prime is 249706973. The reversal of 249706968 is 869607942.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 249706968.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35923 + ... + 42306.

It is an arithmetic number, because the mean of its divisors is an integer number (11734500).

Almost surely, 2249706968 is an apocalyptic number.

249706968 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

249706968 is an abundant number, since it is smaller than the sum of its proper divisors (501301032).

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

249706968 is a wasteful number, since it uses less digits than its factorization.

249706968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78264 (or 78260 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 51.

The square root of 249706968 is about 15802.1190983994. The cubic root of 249706968 is about 629.7142972622.

The spelling of 249706968 in words is "two hundred forty-nine million, seven hundred six thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 19 21 24 28 38 42 56 57 76 84 114 133 152 168 228 266 399 456 532 798 1064 1596 3192 78229 156458 234687 312916 469374 547603 625832 938748 1095206 1486351 1642809 1877496 2190412 2972702 3285618 4380824 4459053 5945404 6571236 8918106 10404457 11890808 13142472 17836212 20808914 31213371 35672424 41617828 62426742 83235656 124853484 249706968