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29375920 = 245752457
BaseRepresentation
bin111000000001…
…1110110110000
32001021110012001
41300003312300
530010012140
62525343344
7504456040
oct160036660
961243161
1029375920
1115644622
129a07b54
136116c02
143c89720
1528a3e9a
hex1c03db0

29375920 has 40 divisors (see below), whose sum is σ = 78057504. Its totient is φ = 10071552.

The previous prime is 29375897. The next prime is 29375921. The reversal of 29375920 is 2957392.

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 29375920.

It is not an unprimeable number, because it can be changed into a prime (29375921) 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 7 ways as a sum of consecutive naturals, for example, 25669 + ... + 26788.

Almost surely, 229375920 is an apocalyptic number.

29375920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

29375920 is an abundant number, since it is smaller than the sum of its proper divisors (48681584).

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

29375920 is a wasteful number, since it uses less digits than its factorization.

29375920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52477 (or 52471 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 37.

The square root of 29375920 is about 5419.9557193763. The cubic root of 29375920 is about 308.5535107827.

The spelling of 29375920 in words is "twenty-nine million, three hundred seventy-five thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 52457 104914 209828 262285 367199 419656 524570 734398 839312 1049140 1468796 1835995 2098280 2937592 3671990 4196560 5875184 7343980 14687960 29375920