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253768845 = 351119611327
BaseRepresentation
bin11110010000000…
…11010010001101
3122200111210102010
433020003102031
51004431100340
641103051433
76200666601
oct1710032215
9580453363
10253768845
11120278320
1270ba0b79
1340761ca5
14259bb501
151742ab80
hexf20348d

253768845 has 64 divisors (see below), whose sum is σ = 474255360. Its totient is φ = 114566400.

The previous prime is 253768817. The next prime is 253768859. The reversal of 253768845 is 548867352.

It is not a de Polignac number, because 253768845 - 213 = 253760653 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 253768794 and 253768803.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 190572 + ... + 191898.

It is an arithmetic number, because the mean of its divisors is an integer number (7410240).

Almost surely, 2253768845 is an apocalyptic number.

It is an amenable number.

253768845 is a deficient number, since it is larger than the sum of its proper divisors (220486515).

253768845 is a wasteful number, since it uses less digits than its factorization.

253768845 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1426.

The product of its digits is 1612800, while the sum is 48.

The square root of 253768845 is about 15930.1238224943. The cubic root of 253768845 is about 633.1103805873.

The spelling of 253768845 in words is "two hundred fifty-three million, seven hundred sixty-eight thousand, eight hundred forty-five".

Divisors: 1 3 5 11 15 19 33 55 57 61 95 165 183 209 285 305 627 671 915 1045 1159 1327 2013 3135 3355 3477 3981 5795 6635 10065 12749 14597 17385 19905 25213 38247 43791 63745 72985 75639 80947 126065 191235 218955 242841 277343 378195 404735 832029 890417 1214205 1386715 1537993 2671251 4160145 4452085 4613979 7689965 13356255 16917923 23069895 50753769 84589615 253768845