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245053248 = 26311294001
BaseRepresentation
bin11101001101100…
…11011101000000
3122002002222212020
432212303131000
51000213200443
640152201440
76033626646
oct1646633500
9562088766
10245053248
11116365150
126a099280
133b9ccc2b
142478d196
15167a8583
hexe9b3740

245053248 has 112 divisors (see below), whose sum is σ = 731885760. Its totient is φ = 71680000.

The previous prime is 245053243. The next prime is 245053261. The reversal of 245053248 is 842350542.

245053248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (245053243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59248 + ... + 63248.

Almost surely, 2245053248 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 245053248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365942880).

245053248 is an abundant number, since it is smaller than the sum of its proper divisors (486832512).

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

245053248 is a wasteful number, since it uses less digits than its factorization.

245053248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4056 (or 4046 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 33.

The square root of 245053248 is about 15654.1766950549. The cubic root of 245053248 is about 625.7778032605. Note that the first 3 decimals are identical.

The spelling of 245053248 in words is "two hundred forty-five million, fifty-three thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 29 32 33 44 48 58 64 66 87 88 96 116 132 174 176 192 232 264 319 348 352 464 528 638 696 704 928 957 1056 1276 1392 1856 1914 2112 2552 2784 3828 4001 5104 5568 7656 8002 10208 12003 15312 16004 20416 24006 30624 32008 44011 48012 61248 64016 88022 96024 116029 128032 132033 176044 192048 232058 256064 264066 348087 352088 384096 464116 528132 696174 704176 768192 928232 1056264 1276319 1392348 1408352 1856464 2112528 2552638 2784696 2816704 3712928 3828957 4225056 5105276 5569392 7425856 7657914 8450112 10210552 11138784 15315828 20421104 22277568 30631656 40842208 61263312 81684416 122526624 245053248