Search a number
-
+
4575638784 = 28319131193
BaseRepresentation
bin1000100001011101…
…01011010100000000
3102210212212112102010
410100232223110000
533332330420114
62034011452520
7221250200523
oct42056532400
912725775363
104575638784
111a38913162
12a78457140
1357bc6aa92
14315998bba
151bba7ec59
hex110bab500

4575638784 has 72 divisors (see below), whose sum is σ = 12242022912. Its totient is φ = 1517178880.

The previous prime is 4575638777. The next prime is 4575638833. The reversal of 4575638784 is 4878365754.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 131092 + ... + 162284.

It is an arithmetic number, because the mean of its divisors is an integer number (170028096).

Almost surely, 24575638784 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 4575638784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6121011456).

4575638784 is an abundant number, since it is smaller than the sum of its proper divisors (7666384128).

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

4575638784 is a wasteful number, since it uses less digits than its factorization.

4575638784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31403 (or 31389 counting only the distinct ones).

The product of its digits is 22579200, while the sum is 57.

The square root of 4575638784 is about 67643.4681547302. The cubic root of 4575638784 is about 1660.1624150373.

The spelling of 4575638784 in words is "four billion, five hundred seventy-five million, six hundred thirty-eight thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 191 192 256 382 384 573 764 768 1146 1528 2292 3056 4584 6112 9168 12224 18336 24448 31193 36672 48896 62386 73344 93579 124772 146688 187158 249544 374316 499088 748632 998176 1497264 1996352 2994528 3992704 5957863 5989056 7985408 11915726 11978112 17873589 23831452 23956224 35747178 47662904 71494356 95325808 142988712 190651616 285977424 381303232 571954848 762606464 1143909696 1525212928 2287819392 4575638784