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245075688 = 2332111321831
BaseRepresentation
bin11101001101110…
…00111011101000
3122002011010122100
432212320323220
51000214410223
640152453400
76034052244
oct1646707350
9562133570
10245075688
1111637aaa0
126a0aa260
133ba0a200
1424797424
15167b0043
hexe9b8ee8

245075688 has 144 divisors (see below), whose sum is σ = 784499040. Its totient is φ = 68515200.

The previous prime is 245075687. The next prime is 245075693. The reversal of 245075688 is 886570542.

It is not an unprimeable number, because it can be changed into a prime (245075687) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 132933 + ... + 134763.

It is an arithmetic number, because the mean of its divisors is an integer number (5447910).

Almost surely, 2245075688 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 245075688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392249520).

245075688 is an abundant number, since it is smaller than the sum of its proper divisors (539423352).

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

245075688 is a wasteful number, since it uses less digits than its factorization.

245075688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1880 (or 1860 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The square root of 245075688 is about 15654.8934202696. The cubic root of 245075688 is about 625.7969039055.

The spelling of 245075688 in words is "two hundred forty-five million, seventy-five thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 13 18 22 24 26 33 36 39 44 52 66 72 78 88 99 104 117 132 143 156 169 198 234 264 286 312 338 396 429 468 507 572 676 792 858 936 1014 1144 1287 1352 1521 1716 1831 1859 2028 2574 3042 3432 3662 3718 4056 5148 5493 5577 6084 7324 7436 10296 10986 11154 12168 14648 14872 16479 16731 20141 21972 22308 23803 32958 33462 40282 43944 44616 47606 60423 65916 66924 71409 80564 95212 120846 131832 133848 142818 161128 181269 190424 214227 241692 261833 285636 309439 362538 428454 483384 523666 571272 618878 725076 785499 856908 928317 1047332 1237756 1450152 1570998 1713816 1856634 2094664 2356497 2475512 2784951 3141996 3403829 3713268 4712994 5569902 6283992 6807658 7426536 9425988 10211487 11139804 13615316 18851976 20422974 22279608 27230632 30634461 40845948 61268922 81691896 122537844 245075688