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245207424 = 2737118293
BaseRepresentation
bin11101001110110…
…01000110000000
3122002101211100110
432213121012000
51000233114144
640155351320
76035141310
oct1647310600
9562354313
10245207424
1111645aa70
126a152540
133ba55167
14247cd440
15167d90b9
hexe9d9180

245207424 has 128 divisors (see below), whose sum is σ = 812148480. Its totient is φ = 63682560.

The previous prime is 245207387. The next prime is 245207437. The reversal of 245207424 is 424702542.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 245207391 and 245207400.

It is a congruent number.

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, 25422 + ... + 33714.

It is an arithmetic number, because the mean of its divisors is an integer number (6344910).

Almost surely, 2245207424 is an apocalyptic number.

245207424 is a gapful number since it is divisible by the number (24) 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 245207424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406074240).

245207424 is an abundant number, since it is smaller than the sum of its proper divisors (566941056).

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

245207424 is a wasteful number, since it uses less digits than its factorization.

245207424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8328 (or 8316 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 30.

The square root of 245207424 is about 15659.1003573002. The cubic root of 245207424 is about 625.9090124200.

Adding to 245207424 its reverse (424702542), we get a palindrome (669909966).

The spelling of 245207424 in words is "two hundred forty-five million, two hundred seven thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 56 64 66 77 84 88 96 112 128 132 154 168 176 192 224 231 264 308 336 352 384 448 462 528 616 672 704 896 924 1056 1232 1344 1408 1848 2112 2464 2688 3696 4224 4928 7392 8293 9856 14784 16586 24879 29568 33172 49758 58051 66344 91223 99516 116102 132688 174153 182446 199032 232204 265376 273669 348306 364892 398064 464408 530752 547338 638561 696612 729784 796128 928816 1061504 1094676 1277122 1393224 1459568 1592256 1857632 1915683 2189352 2554244 2786448 2919136 3184512 3715264 3831366 4378704 5108488 5572896 5838272 7430528 7662732 8757408 10216976 11145792 11676544 15325464 17514816 20433952 22291584 30650928 35029632 40867904 61301856 81735808 122603712 245207424