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5256003780 = 2232546363067
BaseRepresentation
bin1001110010100100…
…00100000011000100
3111120022002122201200
410321102010003010
541231014110110
62225314222500
7244151203116
oct47122040304
914508078650
105256003780
112257971485
121028284a30
13659bc3c11
1437c0a13b6
1520b6746c0
hex1394840c4

5256003780 has 72 divisors (see below), whose sum is σ = 15977899392. Its totient is φ = 1398551616.

The previous prime is 5256003773. The next prime is 5256003787. The reversal of 5256003780 is 873006525.

5256003780 is a `hidden beast` number, since 525 + 60 + 0 + 3 + 78 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5256003773) and next prime (5256003787).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (5256003787) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51807 + ... + 114873.

Almost surely, 25256003780 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 5256003780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7988949696).

5256003780 is an abundant number, since it is smaller than the sum of its proper divisors (10721895612).

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

5256003780 is a wasteful number, since it uses less digits than its factorization.

5256003780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63545 (or 63540 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 5256003780 is about 72498.3019111482. The cubic root of 5256003780 is about 1738.6755874935.

The spelling of 5256003780 in words is "five billion, two hundred fifty-six million, three thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 463 926 1389 1852 2315 2778 4167 4630 5556 6945 8334 9260 13890 16668 20835 27780 41670 63067 83340 126134 189201 252268 315335 378402 567603 630670 756804 946005 1135206 1261340 1892010 2270412 2838015 3784020 5676030 11352060 29200021 58400042 87600063 116800084 146000105 175200126 262800189 292000210 350400252 438000315 525600378 584000420 876000630 1051200756 1314000945 1752001260 2628001890 5256003780