Search a number
-
+
29891250 = 232542657
BaseRepresentation
bin111001000000…
…1101010110010
32002020122002100
41302001222302
530123010000
62544401230
7512033334
oct162015262
962218070
1029891250
1115966814
12a016216
13626763c
143d81454
152956a00
hex1c81ab2

29891250 has 60 divisors (see below), whose sum is σ = 80960022. Its totient is φ = 7968000.

The previous prime is 29891249. The next prime is 29891263. The reversal of 29891250 is 5219892.

It can be written as a sum of positive squares in 5 ways, for example, as 1022121 + 28869129 = 1011^2 + 5373^2 .

It is a congruent number.

It is an unprimeable number.

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 29 ways as a sum of consecutive naturals, for example, 9922 + ... + 12578.

Almost surely, 229891250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29891250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40480011).

29891250 is an abundant number, since it is smaller than the sum of its proper divisors (51068772).

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

29891250 is a wasteful number, since it uses less digits than its factorization.

29891250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2685 (or 2667 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 29891250 is about 5467.2890905823. The cubic root of 29891250 is about 310.3473387409.

The spelling of 29891250 in words is "twenty-nine million, eight hundred ninety-one thousand, two hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 125 150 225 250 375 450 625 750 1125 1250 1875 2250 2657 3750 5314 5625 7971 11250 13285 15942 23913 26570 39855 47826 66425 79710 119565 132850 199275 239130 332125 398550 597825 664250 996375 1195650 1660625 1992750 2989125 3321250 4981875 5978250 9963750 14945625 29891250