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249490976 = 2571931261
BaseRepresentation
bin11101101111011…
…10111000100000
3122101110110021112
432313232320200
51002332202401
640431242452
76116431640
oct1667567040
9571413245
10249490976
11118916299
126b679428
133c8c4ac7
14251c6520
1516d833bb
hexedeee20

249490976 has 144 divisors (see below), whose sum is σ = 620585280. Its totient is φ = 96422400.

The previous prime is 249490951. The next prime is 249490979. The reversal of 249490976 is 679094942.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (249490979) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4089986 + ... + 4090046.

It is an arithmetic number, because the mean of its divisors is an integer number (4309620).

Almost surely, 2249490976 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 249490976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310292640).

249490976 is an abundant number, since it is smaller than the sum of its proper divisors (371094304).

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

249490976 is a wasteful number, since it uses less digits than its factorization.

249490976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 50.

The square root of 249490976 is about 15795.2833466196. The cubic root of 249490976 is about 629.5326810705.

The spelling of 249490976 in words is "two hundred forty-nine million, four hundred ninety thousand, nine hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 19 28 31 32 38 56 61 62 76 112 122 124 133 152 217 224 244 248 266 304 427 434 488 496 532 589 608 854 868 961 976 992 1064 1159 1178 1708 1736 1891 1922 1952 2128 2318 2356 3416 3472 3782 3844 4123 4256 4636 4712 6727 6832 6944 7564 7688 8113 8246 9272 9424 13237 13454 13664 15128 15376 16226 16492 18259 18544 18848 26474 26908 30256 30752 32452 32984 35929 36518 37088 52948 53816 58621 60512 64904 65968 71858 73036 105896 107632 117242 127813 129808 131936 143716 146072 211792 215264 234484 251503 255626 259616 287432 292144 410347 423584 468968 503006 511252 574864 584288 820694 937936 1006012 1022504 1113799 1149728 1641388 1875872 2012024 2045008 2227598 3282776 4024048 4090016 4455196 6565552 7796593 8048096 8910392 13131104 15593186 17820784 31186372 35641568 62372744 124745488 249490976