Search a number
-
+
29743488 = 273225819
BaseRepresentation
bin111000101110…
…1100110000000
32001222010101200
41301131212000
530103242423
62541301200
7510546465
oct161354600
961863350
1029743488
11158757a5
129b64800
1362152c8
143d4366c
152927d43
hex1c5d980

29743488 has 48 divisors (see below), whose sum is σ = 85593300. Its totient is φ = 9914112.

The previous prime is 29743481. The next prime is 29743507. The reversal of 29743488 is 88434792.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×297434882 = 1769350156812288, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29743481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11758 + ... + 14061.

Almost surely, 229743488 is an apocalyptic number.

It is an amenable number.

29743488 is an abundant number, since it is smaller than the sum of its proper divisors (55849812).

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

29743488 is a wasteful number, since it uses less digits than its factorization.

29743488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25839 (or 25824 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 29743488 is about 5453.7590705861. The cubic root of 29743488 is about 309.8351117569.

The spelling of 29743488 in words is "twenty-nine million, seven hundred forty-three thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 25819 51638 77457 103276 154914 206552 232371 309828 413104 464742 619656 826208 929484 1239312 1652416 1858968 2478624 3304832 3717936 4957248 7435872 9914496 14871744 29743488