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245938968 = 233211476607
BaseRepresentation
bin11101010100010…
…11101100011000
3122010202222211200
432222023230120
51000430021333
640223154200
76044306142
oct1652135430
9563688750
10245938968
1111690a650
126a445960
133bc50122
142493dc92
15168d0c13
hexea8bb18

245938968 has 96 divisors (see below), whose sum is σ = 742210560. Its totient is φ = 72930240.

The previous prime is 245938961. The next prime is 245938991. The reversal of 245938968 is 869839542.

245938968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (245938961) 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, 33921 + ... + 40527.

It is an arithmetic number, because the mean of its divisors is an integer number (7731360).

Almost surely, 2245938968 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 245938968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371105280).

245938968 is an abundant number, since it is smaller than the sum of its proper divisors (496271592).

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

245938968 is a wasteful number, since it uses less digits than its factorization.

245938968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6677 (or 6670 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 54.

The square root of 245938968 is about 15682.4413915691. The cubic root of 245938968 is about 626.5308334437.

The spelling of 245938968 in words is "two hundred forty-five million, nine hundred thirty-eight thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 47 66 72 88 94 99 132 141 188 198 264 282 376 396 423 517 564 792 846 1034 1128 1551 1692 2068 3102 3384 4136 4653 6204 6607 9306 12408 13214 18612 19821 26428 37224 39642 52856 59463 72677 79284 118926 145354 158568 218031 237852 290708 310529 436062 475704 581416 621058 654093 872124 931587 1242116 1308186 1744248 1863174 2484232 2616372 2794761 3415819 3726348 5232744 5589522 6831638 7452696 10247457 11179044 13663276 20494914 22358088 27326552 30742371 40989828 61484742 81979656 122969484 245938968