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4778460225 = 3252711275813
BaseRepresentation
bin1000111001101000…
…11000010001000001
3110100000111221010100
410130310120101001
534241241211400
62110054553013
7226262145630
oct43464302101
913300457110
104778460225
112032352990
12b14368769
135b1ca2376
143348b3517
151ce795100
hex11cd18441

4778460225 has 72 divisors (see below), whose sum is σ = 10670692032. Its totient is φ = 1985846400.

The previous prime is 4778460223. The next prime is 4778460227. The reversal of 4778460225 is 5220648774.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4778460223) and next prime (4778460227).

It is not a de Polignac number, because 4778460225 - 21 = 4778460223 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (4778460221) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 120582 + ... + 155231.

It is an arithmetic number, because the mean of its divisors is an integer number (148204056).

Almost surely, 24778460225 is an apocalyptic number.

4778460225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4778460225 is an abundant number, since it is smaller than the sum of its proper divisors (5892231807).

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

4778460225 is a wasteful number, since it uses less digits than its factorization.

4778460225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275847 (or 275839 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The square root of 4778460225 is about 69126.4075806055. The cubic root of 4778460225 is about 1684.3383038211.

The spelling of 4778460225 in words is "four billion, seven hundred seventy-eight million, four hundred sixty thousand, two hundred twenty-five".

Divisors: 1 3 5 7 9 11 15 21 25 33 35 45 55 63 75 77 99 105 165 175 225 231 275 315 385 495 525 693 825 1155 1575 1925 2475 3465 5775 17325 275813 827439 1379065 1930691 2482317 3033943 4137195 5792073 6895325 9101829 9653455 12411585 15169715 17376219 20685975 21237601 27305487 28960365 45509145 48267275 62057925 63712803 75848575 86881095 106188005 136527435 144801825 191138409 227545725 318564015 434405475 530940025 682637175 955692045 1592820075 4778460225