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5007430428 = 223711133371237
BaseRepresentation
bin1001010100111011…
…10101001100011100
3110220222100211012020
410222131311030130
540223400233203
62144514340140
7235042312350
oct45235651434
913828324166
105007430428
11213a622660
12b78b8a650
1361a5609b0
14357077460
151e4923153
hex12a77531c

5007430428 has 192 divisors, whose sum is σ = 15746884608. Its totient is φ = 1196052480.

The previous prime is 5007430399. The next prime is 5007430429. The reversal of 5007430428 is 8240347005.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5007430429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4047426 + ... + 4048662.

It is an arithmetic number, because the mean of its divisors is an integer number (82015024).

Almost surely, 25007430428 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 5007430428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7873442304).

5007430428 is an abundant number, since it is smaller than the sum of its proper divisors (10739454180).

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

5007430428 is a wasteful number, since it uses less digits than its factorization.

5007430428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1612 (or 1610 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 33.

The square root of 5007430428 is about 70763.1996732765. The cubic root of 5007430428 is about 1710.8225843000.

The spelling of 5007430428 in words is "five billion, seven million, four hundred thirty thousand, four hundred twenty-eight".