Search a number
-
+
6074576728 = 2311314154311
BaseRepresentation
bin1011010100001001…
…01010111101011000
3120200100101110201021
411222010222331120
544420042423403
62442435132224
7303351023143
oct55204527530
916610343637
106074576728
112637a38450
121216444074
1375a67a7cc
14418aa305a
152584698bd
hex16a12af58

6074576728 has 64 divisors (see below), whose sum is σ = 13139159040. Its totient is φ = 2606880000.

The previous prime is 6074576723. The next prime is 6074576743. The reversal of 6074576728 is 8276754706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6074576723) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84693 + ... + 139003.

It is an arithmetic number, because the mean of its divisors is an integer number (205299360).

Almost surely, 26074576728 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 6074576728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6569579520).

6074576728 is an abundant number, since it is smaller than the sum of its proper divisors (7064582312).

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

6074576728 is a wasteful number, since it uses less digits than its factorization.

6074576728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54400 (or 54396 counting only the distinct ones).

The product of its (nonzero) digits is 3951360, while the sum is 52.

The square root of 6074576728 is about 77939.5710021553. The cubic root of 6074576728 is about 1824.6182203083.

The spelling of 6074576728 in words is "six billion, seventy-four million, five hundred seventy-six thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 11 22 31 41 44 62 82 88 124 164 248 328 341 451 682 902 1271 1364 1804 2542 2728 3608 5084 10168 13981 27962 54311 55924 108622 111848 217244 434488 597421 1194842 1683641 2226751 2389684 3367282 4453502 4779368 6734564 8907004 13469128 17814008 18520051 24494261 37040102 48988522 69029281 74080204 97977044 138058562 148160408 195954088 276117124 552234248 759322091 1518644182 3037288364 6074576728