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4906694400 = 28352833079
BaseRepresentation
bin1001001000111011…
…00011011100000000
3110122221210220100020
410210131203130000
540022103210100
62130515253440
7232410133326
oct44435433400
913587726306
104906694400
112098779143
12b4b2aa280
1360272018a
14347933d16
151dab755a0
hex124763700

4906694400 has 216 divisors, whose sum is σ = 16393534080. Its totient is φ = 1292267520.

The previous prime is 4906694383. The next prime is 4906694413. The reversal of 4906694400 is 44966094.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1592061 + ... + 1595139.

Almost surely, 24906694400 is an apocalyptic number.

4906694400 is a gapful number since it is divisible by the number (40) 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 4906694400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8196767040).

4906694400 is an abundant number, since it is smaller than the sum of its proper divisors (11486839680).

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

4906694400 is a wasteful number, since it uses less digits than its factorization.

4906694400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3191 (or 3172 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 42.

The square root of 4906694400 is about 70047.8008220101. The cubic root of 4906694400 is about 1699.2723991268.

It can be divided in two parts, 4906694 and 400, that added together give a palindrome (4907094).

The spelling of 4906694400 in words is "four billion, nine hundred six million, six hundred ninety-four thousand, four hundred".