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5248133136 = 243260372
BaseRepresentation
bin1001110001101000…
…00010100000010000
3111112202021210020100
410320310002200100
541222010230021
62224433412400
7244024252461
oct47064024020
914482253210
105248133136
112253486114
12102570a100
1365839962c
1437b012d68
1520ab1c626
hex138d02810

5248133136 has 45 divisors (see below), whose sum is σ = 14689917021. Its totient is φ = 1749087936.

The previous prime is 5248133119. The next prime is 5248133227. The reversal of 5248133136 is 6313318425.

The square root of 5248133136 is 72444.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1030410000 + 4217723136 = 32100^2 + 64944^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 5248133136.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 866310 + ... + 872346.

Almost surely, 25248133136 is an apocalyptic number.

5248133136 is the 72444-th square number.

It is an amenable number.

5248133136 is an abundant number, since it is smaller than the sum of its proper divisors (9441783885).

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

5248133136 is an frugal number, since it uses more digits than its factorization.

5248133136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12088 (or 6042 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The cubic root of 5248133136 is about 1737.8072894801.

Multiplying 5248133136 by its sum of digits (36), we get a square (188932792896 = 4346642).

5248133136 divided by its sum of digits (36) gives a square (145781476 = 120742).

It can be divided in two parts, 5248 and 133136, that added together give a square (138384 = 3722).

The spelling of 5248133136 in words is "five billion, two hundred forty-eight million, one hundred thirty-three thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 6037 12074 18111 24148 36222 48296 54333 72444 96592 108666 144888 217332 289776 434664 869328 36445369 72890738 109336107 145781476 218672214 291562952 328008321 437344428 583125904 656016642 874688856 1312033284 1749377712 2624066568 5248133136