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29243040 = 253560923
BaseRepresentation
bin110111110001…
…1011010100000
32001000200220120
41233203122200
524441234130
62522440240
7503363451
oct157433240
961020816
1029243040
1115563802
129963080
13609b598
143c53128
152879910
hex1be36a0

29243040 has 48 divisors (see below), whose sum is σ = 92117088. Its totient is φ = 7798016.

The previous prime is 29243029. The next prime is 29243041. The reversal of 29243040 is 4034292.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 29243040.

It is not an unprimeable number, because it can be changed into a prime (29243041) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 29982 + ... + 30941.

It is an arithmetic number, because the mean of its divisors is an integer number (1919106).

Almost surely, 229243040 is an apocalyptic number.

29243040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

29243040 is an abundant number, since it is smaller than the sum of its proper divisors (62874048).

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

29243040 is a wasteful number, since it uses less digits than its factorization.

29243040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60941 (or 60933 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 29243040 is about 5407.6834226866. The cubic root of 29243040 is about 308.0875671631.

The spelling of 29243040 in words is "twenty-nine million, two hundred forty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 60923 121846 182769 243692 304615 365538 487384 609230 731076 913845 974768 1218460 1462152 1827690 1949536 2436920 2924304 3655380 4873840 5848608 7310760 9747680 14621520 29243040