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245053312 = 277289439
BaseRepresentation
bin11101001101100…
…11011110000000
3122002002222221121
432212303132000
51000213201222
640152202024
76033630100
oct1646633600
9562088847
10245053312
111163651a9
126a099314
133b9ccc7a
142478d200
15167a85c7
hexe9b3780

245053312 has 96 divisors (see below), whose sum is σ = 575586000. Its totient is φ = 103606272.

The previous prime is 245053261. The next prime is 245053321. The reversal of 245053312 is 213350542.

245053312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2450533122 = 120102251444338688, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 557989 + ... + 558427.

Almost surely, 2245053312 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 245053312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287793000).

245053312 is an abundant number, since it is smaller than the sum of its proper divisors (330532688).

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

245053312 is an equidigital number, since it uses as much as digits as its factorization.

245053312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 556 (or 537 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 25.

The square root of 245053312 is about 15654.1787392376. The cubic root of 245053312 is about 625.7778577381. Note that the first 3 decimals are identical.

The spelling of 245053312 in words is "two hundred forty-five million, fifty-three thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 89 98 112 128 178 196 224 356 392 439 448 623 712 784 878 896 1246 1424 1568 1756 2492 2848 3073 3136 3512 4361 4984 5696 6146 6272 7024 8722 9968 11392 12292 14048 17444 19936 21511 24584 28096 34888 39071 39872 43022 49168 56192 69776 78142 79744 86044 98336 139552 156284 172088 196672 273497 279104 312568 344176 393344 546994 558208 625136 688352 1093988 1250272 1376704 1914479 2187976 2500544 2753408 3828958 4375952 5001088 7657916 8751904 15315832 17503808 30631664 35007616 61263328 122526656 245053312