Search a number
-
+
29256049936 = 246127012
BaseRepresentation
bin11011001111110010…
…111110010100010000
32210111220102022202001
4123033302332110100
5434404022044221
621235014403344
72053664215141
oct331762762420
983456368661
1029256049936
1111453306373
125805960554
1329b3208269
1415b770dac8
15b63674391
hex6cfcbe510

29256049936 has 45 divisors (see below), whose sum is σ = 57710395119. Its totient is φ = 14367696000.

The previous prime is 29256049931. The next prime is 29256049939. The reversal of 29256049936 is 63994065292.

The square root of 29256049936 is 171044.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1139467536 + 28116582400 = 33756^2 + 167680^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (29256049931) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 41734386 + ... + 41735086.

Almost surely, 229256049936 is an apocalyptic number.

29256049936 is the 171044-th square number.

It is an amenable number.

29256049936 is a deficient number, since it is larger than the sum of its proper divisors (28454345183).

29256049936 is an frugal number, since it uses more digits than its factorization.

29256049936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1532 (or 764 counting only the distinct ones).

The product of its (nonzero) digits is 6298560, while the sum is 55.

The spelling of 29256049936 in words is "twenty-nine billion, two hundred fifty-six million, forty-nine thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 16 61 122 244 488 701 976 1402 2804 3721 5608 7442 11216 14884 29768 42761 59536 85522 171044 342088 491401 684176 982802 1965604 2608421 3931208 5216842 7862416 10433684 20867368 29975461 41734736 59950922 119901844 239803688 479607376 1828503121 3657006242 7314012484 14628024968 29256049936