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29748040 = 2357106243
BaseRepresentation
bin111000101111…
…0101101001000
32001222100122021
41301132231020
530103414130
62541334224
7510565660
oct161365510
961870567
1029748040
1115879163
129b67374
1362173ba
143d451a0
15292937a
hex1c5eb48

29748040 has 32 divisors (see below), whose sum is σ = 76495680. Its totient is φ = 10199232.

The previous prime is 29748031. The next prime is 29748049. The reversal of 29748040 is 4084792.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (29748031) and next prime (29748049).

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 29747987 and 29748005.

It is not an unprimeable number, because it can be changed into a prime (29748049) 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, 52842 + ... + 53401.

It is an arithmetic number, because the mean of its divisors is an integer number (2390490).

Almost surely, 229748040 is an apocalyptic number.

29748040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

29748040 is an abundant number, since it is smaller than the sum of its proper divisors (46747640).

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

29748040 is a wasteful number, since it uses less digits than its factorization.

29748040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106261 (or 106257 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

The square root of 29748040 is about 5454.1763814530. The cubic root of 29748040 is about 309.8509168690.

The spelling of 29748040 in words is "twenty-nine million, seven hundred forty-eight thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 106243 212486 424972 531215 743701 849944 1062430 1487402 2124860 2974804 3718505 4249720 5949608 7437010 14874020 29748040