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4252804320 = 253517521177
BaseRepresentation
bin1111110101111100…
…1010010011100000
3101222101101211210010
43331133022103200
532202204214240
61542000204520
7210250145262
oct37537122340
911871354703
104252804320
111892662916
129a8309740
1352a10667b
142c4b5db32
1519d560280
hexfd7ca4e0

4252804320 has 96 divisors (see below), whose sum is σ = 14184380448. Its totient is φ = 1067368448.

The previous prime is 4252804319. The next prime is 4252804321. The reversal of 4252804320 is 234082524.

It is an interprime number because it is at equal distance from previous prime (4252804319) and next prime (4252804321).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4252804321) 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, 252429 + ... + 268748.

It is an arithmetic number, because the mean of its divisors is an integer number (147753963).

Almost surely, 24252804320 is an apocalyptic number.

4252804320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4252804320 is an abundant number, since it is smaller than the sum of its proper divisors (9931576128).

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

4252804320 is a wasteful number, since it uses less digits than its factorization.

4252804320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 521212 (or 521204 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

The square root of 4252804320 is about 65213.5286577870. The cubic root of 4252804320 is about 1620.1620932153.

Adding to 4252804320 its reverse (234082524), we get a palindrome (4486886844).

The spelling of 4252804320 in words is "four billion, two hundred fifty-two million, eight hundred four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 68 80 85 96 102 120 136 160 170 204 240 255 272 340 408 480 510 544 680 816 1020 1360 1632 2040 2720 4080 8160 521177 1042354 1563531 2084708 2605885 3127062 4169416 5211770 6254124 7817655 8338832 8860009 10423540 12508248 15635310 16677664 17720018 20847080 25016496 26580027 31270620 35440036 41694160 44300045 50032992 53160054 62541240 70880072 83388320 88600090 106320108 125082480 132900135 141760144 177200180 212640216 250164960 265800270 283520288 354400360 425280432 531600540 708800720 850560864 1063201080 1417601440 2126402160 4252804320