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3047429952 = 2636723143
BaseRepresentation
bin1011010110100100…
…0001011101000000
321212101021111000000
42311221001131000
522220120224302
61222221000000
7135342504300
oct26551013500
97771244000
103047429952
111324216256
127106b3000
1339747cbb8
1420ca31600
1512c81231c
hexb5a41740

3047429952 has 588 divisors, whose sum is σ = 11140415616. Its totient is φ = 823011840.

The previous prime is 3047429951. The next prime is 3047429953. The reversal of 3047429952 is 2599247403.

3047429952 is a `hidden beast` number, since 304 + 7 + 4 + 299 + 52 = 666.

It is an interprime number because it is at equal distance from previous prime (3047429951) and next prime (3047429953).

It is a tau number, because it is divible by the number of its divisors (588).

It is a junction number, because it is equal to n+sod(n) for n = 3047429898 and 3047429907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3047429951) 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 83 ways as a sum of consecutive naturals, for example, 70870443 + ... + 70870485.

Almost surely, 23047429952 is an apocalyptic number.

3047429952 is a gapful number since it is divisible by the number (32) 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 3047429952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5570207808).

3047429952 is an abundant number, since it is smaller than the sum of its proper divisors (8092985664).

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

3047429952 is an equidigital number, since it uses as much as digits as its factorization.

3047429952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 3047429952 is about 55203.5320609107. The cubic root of 3047429952 is about 1449.8105106325.

The spelling of 3047429952 in words is "three billion, forty-seven million, four hundred twenty-nine thousand, nine hundred fifty-two".