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5159285248 = 29134011933
BaseRepresentation
bin1001100111000010…
…00111001000000000
3111022120002211211211
410303201013020000
541031234111443
62211541215504
7241565125645
oct46341071000
914276084754
105159285248
112208311407
12bbba01594
13642b5bc10
1436d2c5dcc
15202e1c19d
hex133847200

5159285248 has 80 divisors (see below), whose sum is σ = 11134896696. Its totient is φ = 2374041600.

The previous prime is 5159285221. The next prime is 5159285309. The reversal of 5159285248 is 8425829515.

It can be written as a sum of positive squares in 4 ways, for example, as 5039864064 + 119421184 = 70992^2 + 10928^2 .

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 2668090 + ... + 2670022.

Almost surely, 25159285248 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 5159285248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5567448348).

5159285248 is an abundant number, since it is smaller than the sum of its proper divisors (5975611448).

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

5159285248 is a wasteful number, since it uses less digits than its factorization.

5159285248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2365 (or 2349 counting only the distinct ones).

The product of its digits is 1152000, while the sum is 49.

The square root of 5159285248 is about 71828.1647266586. The cubic root of 5159285248 is about 1727.9447284562.

The spelling of 5159285248 in words is "five billion, one hundred fifty-nine million, two hundred eighty-five thousand, two hundred forty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 401 416 512 802 832 1604 1664 1933 3208 3328 3866 5213 6416 6656 7732 10426 12832 15464 20852 25129 25664 30928 41704 50258 51328 61856 83408 100516 102656 123712 166816 201032 205312 247424 333632 402064 494848 667264 775133 804128 989696 1334528 1550266 1608256 2669056 3100532 3216512 6201064 6433024 10076729 12402128 12866048 20153458 24804256 40306916 49608512 80613832 99217024 161227664 198434048 322455328 396868096 644910656 1289821312 2579642624 5159285248