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30047976 = 23337217167
BaseRepresentation
bin111001010011…
…1111011101000
32002112121002000
41302213323220
530143013401
62552011000
7513255300
oct162477350
962477060
1030047976
1115a63542
12a090a60
1362c0a8a
143dc2600
152988186
hex1ca7ee8

30047976 has 192 divisors, whose sum is σ = 103420800. Its totient is φ = 8031744.

The previous prime is 30047971. The next prime is 30048001. The reversal of 30047976 is 67974003.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 30047976.

It is not an unprimeable number, because it can be changed into a prime (30047971) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 179845 + ... + 180011.

It is an arithmetic number, because the mean of its divisors is an integer number (538650).

Almost surely, 230047976 is an apocalyptic number.

30047976 is a gapful number since it is divisible by the number (36) 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 30047976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51710400).

30047976 is an abundant number, since it is smaller than the sum of its proper divisors (73372824).

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

30047976 is a wasteful number, since it uses less digits than its factorization.

30047976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 30047976 is about 5481.6034150602. The cubic root of 30047976 is about 310.8887985861. Note that the first 3 decimals are identical.

The spelling of 30047976 in words is "thirty million, forty-seven thousand, nine hundred seventy-six".