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253049676 = 2231119163619
BaseRepresentation
bin11110001010100…
…11101101001100
3122122011020220020
433011103231030
51004240042201
641035422140
76161613105
oct1705235514
9578136806
10253049676
1111a926a70
12708b4950
134056c849
14258713ac
1517337a36
hexf153b4c

253049676 has 96 divisors (see below), whose sum is σ = 683289600. Its totient is φ = 72083520.

The previous prime is 253049669. The next prime is 253049701. The reversal of 253049676 is 676940352.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 408495 + ... + 409113.

It is an arithmetic number, because the mean of its divisors is an integer number (7117600).

Almost surely, 2253049676 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 253049676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341644800).

253049676 is an abundant number, since it is smaller than the sum of its proper divisors (430239924).

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

253049676 is a wasteful number, since it uses less digits than its factorization.

253049676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 819 (or 817 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 42.

The square root of 253049676 is about 15907.5351956235. The cubic root of 253049676 is about 632.5117463592.

It can be divided in two parts, 25304 and 9676, that added together give a triangular number (34980 = T264).

The spelling of 253049676 in words is "two hundred fifty-three million, forty-nine thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 11 12 19 22 33 38 44 57 66 76 114 132 163 209 228 326 418 489 619 627 652 836 978 1238 1254 1793 1857 1956 2476 2508 3097 3586 3714 5379 6194 6809 7172 7428 9291 10758 11761 12388 13618 18582 20427 21516 23522 27236 34067 35283 37164 40854 47044 68134 70566 81708 100897 102201 129371 136268 141132 201794 204402 258742 302691 388113 403588 408804 517484 605382 776226 1109867 1210764 1552452 1917043 2219734 3329601 3834086 4439468 5751129 6659202 7668172 11502258 13318404 21087473 23004516 42174946 63262419 84349892 126524838 253049676