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5254240768 = 2976721881
BaseRepresentation
bin1001110010010110…
…10101101000000000
3111120011210002022221
410321023111220000
541230041201033
62225212340424
7244130211130
oct47113255000
914504702287
105254240768
112256977947
121027774714
1365972760a
1437bb62ac0
1520b42712d
hex1392d5a00

5254240768 has 80 divisors (see below), whose sum is σ = 12177595584. Its totient is φ = 2218106880.

The previous prime is 5254240729. The next prime is 5254240777. The reversal of 5254240768 is 8670424525.

It is a happy number.

It is a super-2 number, since 2×52542407682 = 55214092096226459648, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 229188 + ... + 251068.

Almost surely, 25254240768 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 5254240768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6088797792).

5254240768 is an abundant number, since it is smaller than the sum of its proper divisors (6923354816).

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

5254240768 is an equidigital number, since it uses as much as digits as its factorization.

5254240768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21973 (or 21957 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 43.

The square root of 5254240768 is about 72486.1419031252. The cubic root of 5254240768 is about 1738.4811654669.

The spelling of 5254240768 in words is "five billion, two hundred fifty-four million, two hundred forty thousand, seven hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 67 112 128 134 224 256 268 448 469 512 536 896 938 1072 1792 1876 2144 3584 3752 4288 7504 8576 15008 17152 21881 30016 34304 43762 60032 87524 120064 153167 175048 240128 306334 350096 612668 700192 1225336 1400384 1466027 2450672 2800768 2932054 4901344 5601536 5864108 9802688 10262189 11203072 11728216 19605376 20524378 23456432 39210752 41048756 46912864 78421504 82097512 93825728 164195024 187651456 328390048 375302912 656780096 750605824 1313560192 2627120384 5254240768