Search a number
-
+
5784072736 = 2513292631823
BaseRepresentation
bin1010110001100000…
…11111001000100000
3112221002202100011011
411120300133020200
543321210311421
62353540430304
7263222543551
oct53060371040
915832670134
105784072736
1124a8a5a502
1211550a8394
13712426060
143cc282328
1523cbd44e1
hex158c1f220

5784072736 has 96 divisors (see below), whose sum is σ = 12741442560. Its totient is φ = 2566308864.

The previous prime is 5784072713. The next prime is 5784072757. The reversal of 5784072736 is 6372704875.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 5784072736.

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 15 ways as a sum of consecutive naturals, for example, 3171921 + ... + 3173743.

It is an arithmetic number, because the mean of its divisors is an integer number (132723360).

Almost surely, 25784072736 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 5784072736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6370721280).

5784072736 is an abundant number, since it is smaller than the sum of its proper divisors (6957369824).

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

5784072736 is a wasteful number, since it uses less digits than its factorization.

5784072736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2138 (or 2130 counting only the distinct ones).

The product of its (nonzero) digits is 1975680, while the sum is 49.

The square root of 5784072736 is about 76053.0915610930. The cubic root of 5784072736 is about 1795.0556424741.

The spelling of 5784072736 in words is "five billion, seven hundred eighty-four million, seventy-two thousand, seven hundred thirty-six".

Divisors: 1 2 4 8 13 16 26 29 32 52 58 104 116 208 232 263 377 416 464 526 754 928 1052 1508 1823 2104 3016 3419 3646 4208 6032 6838 7292 7627 8416 12064 13676 14584 15254 23699 27352 29168 30508 47398 52867 54704 58336 61016 94796 99151 105734 109408 122032 189592 198302 211468 244064 379184 396604 422936 479449 687271 758368 793208 845872 958898 1374542 1586416 1691744 1917796 2749084 3172832 3835592 5498168 6232837 7671184 10996336 12465674 13904021 15342368 21992672 24931348 27808042 49862696 55616084 99725392 111232168 180752273 199450784 222464336 361504546 444928672 723009092 1446018184 2892036368 5784072736