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248253828 = 223315911311
BaseRepresentation
bin11101100110000…
…00110110000100
3122022010121020020
432303000312010
51002023110303
640344535140
76103060044
oct1663006604
9568117206
10248253828
11118150859
126b1814b0
133c580974
1424d83724
1516bdba53
hexecc0d84

248253828 has 48 divisors (see below), whose sum is σ = 608133120. Its totient is φ = 78717600.

The previous prime is 248253799. The next prime is 248253851. The reversal of 248253828 is 828352842.

It is a super-3 number, since 3×2482538283 (a number of 26 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 248253828.

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, 16293 + ... + 27603.

It is an arithmetic number, because the mean of its divisors is an integer number (12669440).

Almost surely, 2248253828 is an apocalyptic number.

It is an amenable number.

248253828 is an abundant number, since it is smaller than the sum of its proper divisors (359879292).

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

248253828 is a wasteful number, since it uses less digits than its factorization.

248253828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11408 (or 11406 counting only the distinct ones).

The product of its digits is 245760, while the sum is 42.

The square root of 248253828 is about 15756.0727340286. The cubic root of 248253828 is about 628.4904042650.

The spelling of 248253828 in words is "two hundred forty-eight million, two hundred fifty-three thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 12 31 59 62 93 118 124 177 186 236 354 372 708 1829 3658 5487 7316 10974 11311 21948 22622 33933 45244 67866 135732 350641 667349 701282 1051923 1334698 1402564 2002047 2103846 2669396 4004094 4207692 8008188 20687819 41375638 62063457 82751276 124126914 248253828