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30007992 = 23372171979
BaseRepresentation
bin111001001111…
…0001010111000
32002110120020010
41302132022320
530140223432
62551101520
7513030600
oct162361270
962416203
1030007992
1115a364a3
12a0718a0
1362a8811
143db1c00
15297b3cc
hex1c9e2b8

30007992 has 192 divisors, whose sum is σ = 98496000. Its totient is φ = 7547904.

The previous prime is 30007981. The next prime is 30007993. The reversal of 30007992 is 29970003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30007993) 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 47 ways as a sum of consecutive naturals, for example, 379809 + ... + 379887.

It is an arithmetic number, because the mean of its divisors is an integer number (513000).

Almost surely, 230007992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30007992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49248000).

30007992 is an abundant number, since it is smaller than the sum of its proper divisors (68488008).

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

30007992 is a wasteful number, since it uses less digits than its factorization.

30007992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 3402, while the sum is 30.

The square root of 30007992 is about 5477.9550929156. The cubic root of 30007992 is about 310.7508403702.

Adding to 30007992 its reverse (29970003), we get a palindrome (59977995).

The spelling of 30007992 in words is "thirty million, seven thousand, nine hundred ninety-two".