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29097440 = 255296271
BaseRepresentation
bin110111011111…
…1110111100000
32000202022011222
41232333313200
524422104230
62515354212
7502216121
oct156776740
960668158
1029097440
1115474379
1298b2968
13604a228
143c16048
15284b6e5
hex1bbfde0

29097440 has 48 divisors (see below), whose sum is σ = 71124480. Its totient is φ = 11235840.

The previous prime is 29097407. The next prime is 29097451. The reversal of 29097440 is 4479092.

It is a super-2 number, since 2×290974402 = 1693322029107200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 29097440.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1505 + ... + 7775.

It is an arithmetic number, because the mean of its divisors is an integer number (1481760).

Almost surely, 229097440 is an apocalyptic number.

29097440 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 29097440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35562240).

29097440 is an abundant number, since it is smaller than the sum of its proper divisors (42027040).

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

29097440 is a wasteful number, since it uses less digits than its factorization.

29097440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6315 (or 6307 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 35.

The square root of 29097440 is about 5394.2042972064. The cubic root of 29097440 is about 307.5753973794.

The spelling of 29097440 in words is "twenty-nine million, ninety-seven thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 80 116 145 160 232 290 464 580 928 1160 2320 4640 6271 12542 25084 31355 50168 62710 100336 125420 181859 200672 250840 363718 501680 727436 909295 1003360 1454872 1818590 2909744 3637180 5819488 7274360 14548720 29097440