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29254420 = 22513373041
BaseRepresentation
bin110111110011…
…0001100010100
32001001021112001
41233212030110
524442120140
62523005044
7503441566
oct157461424
961037461
1029254420
1115571308
129969784
1360a3810
143c57336
15287ce9a
hex1be6314

29254420 has 48 divisors (see below), whose sum is σ = 67970448. Its totient is φ = 10506240.

The previous prime is 29254403. The next prime is 29254439. The reversal of 29254420 is 2445292.

It can be written as a sum of positive squares in 8 ways, for example, as 2256004 + 26998416 = 1502^2 + 5196^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8100 + ... + 11140.

It is an arithmetic number, because the mean of its divisors is an integer number (1416051).

Almost surely, 229254420 is an apocalyptic number.

29254420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29254420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33985224).

29254420 is an abundant number, since it is smaller than the sum of its proper divisors (38716028).

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

29254420 is a wasteful number, since it uses less digits than its factorization.

29254420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3100 (or 3098 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 29254420 is about 5408.7355269046. The cubic root of 29254420 is about 308.1275263217.

The spelling of 29254420 in words is "twenty-nine million, two hundred fifty-four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 37 52 65 74 130 148 185 260 370 481 740 962 1924 2405 3041 4810 6082 9620 12164 15205 30410 39533 60820 79066 112517 158132 197665 225034 395330 450068 562585 790660 1125170 1462721 2250340 2925442 5850884 7313605 14627210 29254420