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4731238656 = 283214332
BaseRepresentation
bin1000110100000000…
…01111100100000000
3110012201122211022100
410122000033210000
534142144114111
62101250510400
7225146602464
oct43200174400
913181584270
104731238656
11200872a6a1
12b00595400
135a527a801
1432c5004a4
151ca568756
hex11a00f900

4731238656 has 81 divisors (see below), whose sum is σ = 13650853489. Its totient is φ = 1575979008.

The previous prime is 4731238649. The next prime is 4731238657. The reversal of 4731238656 is 6568321374.

The square root of 4731238656 is 68784.

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

4731238656 is a `hidden beast` number, since 473 + 123 + 8 + 6 + 56 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3923769600 + 807469056 = 62640^2 + 28416^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4731238657) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3300916 + ... + 3302348.

Almost surely, 24731238656 is an apocalyptic number.

4731238656 is the 68784-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4731238656

4731238656 is an abundant number, since it is smaller than the sum of its proper divisors (8919614833).

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

4731238656 is an frugal number, since it uses more digits than its factorization.

4731238656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2888 (or 1438 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The cubic root of 4731238656 is about 1678.7716190592.

The spelling of 4731238656 in words is "four billion, seven hundred thirty-one million, two hundred thirty-eight thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 1433 2304 2866 4299 5732 8598 11464 12897 17196 22928 25794 34392 45856 51588 68784 91712 103176 137568 183424 206352 275136 366848 412704 550272 825408 1100544 1650816 2053489 3301632 4106978 6160467 8213956 12320934 16427912 18481401 24641868 32855824 36962802 49283736 65711648 73925604 98567472 131423296 147851208 197134944 262846592 295702416 394269888 525693184 591404832 788539776 1182809664 1577079552 2365619328 4731238656