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245557368 = 233271925643
BaseRepresentation
bin11101010001011…
…10100001111000
3122010001121101100
432220232201320
51000330313433
640211051400
76041126460
oct1650564170
9563047340
10245557368
11116679981
126a2a0b60
133bb48524
1424880ba0
1516857b13
hexea2e878

245557368 has 96 divisors (see below), whose sum is σ = 800092800. Its totient is φ = 66464064.

The previous prime is 245557363. The next prime is 245557373. The reversal of 245557368 is 863755542.

245557368 is a `hidden beast` number, since 24 + 55 + 573 + 6 + 8 = 666.

245557368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (245557363) and next prime (245557373).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (245557363) 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, 3246 + ... + 22397.

It is an arithmetic number, because the mean of its divisors is an integer number (8334300).

Almost surely, 2245557368 is an apocalyptic number.

245557368 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 245557368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400046400).

245557368 is an abundant number, since it is smaller than the sum of its proper divisors (554535432).

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

245557368 is a wasteful number, since it uses less digits than its factorization.

245557368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25681 (or 25674 counting only the distinct ones).

The product of its digits is 1008000, while the sum is 45.

The square root of 245557368 is about 15670.2701955008. The cubic root of 245557368 is about 626.2066230250.

The spelling of 245557368 in words is "two hundred forty-five million, five hundred fifty-seven thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 19 21 24 28 36 38 42 56 57 63 72 76 84 114 126 133 152 168 171 228 252 266 342 399 456 504 532 684 798 1064 1197 1368 1596 2394 3192 4788 9576 25643 51286 76929 102572 153858 179501 205144 230787 307716 359002 461574 487217 538503 615432 718004 923148 974434 1077006 1436008 1461651 1615509 1846296 1948868 2154012 2923302 3231018 3410519 3897736 4308024 4384953 5846604 6462036 6821038 8769906 10231557 11693208 12924072 13642076 17539812 20463114 27284152 30694671 35079624 40926228 61389342 81852456 122778684 245557368