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4998428400 = 2435271722971
BaseRepresentation
bin1001010011110110…
…11111011011110000
3110220100102110201210
410221323133123300
540214044202100
62143553400120
7234602640360
oct45173373360
913810373653
104998428400
112135534269
12b75b69040
1361872b454
14355bb29a0
151e3c45c50
hex129edf6f0

4998428400 has 720 divisors, whose sum is σ = 20392266240. Its totient is φ = 1023590400.

The previous prime is 4998428341. The next prime is 4998428411. The reversal of 4998428400 is 48248994.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 4998428400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 70400365 + ... + 70400435.

It is an arithmetic number, because the mean of its divisors is an integer number (28322592).

Almost surely, 24998428400 is an apocalyptic number.

4998428400 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 4998428400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10196133120).

4998428400 is an abundant number, since it is smaller than the sum of its proper divisors (15393837840).

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

4998428400 is a wasteful number, since it uses less digits than its factorization.

4998428400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 48.

The square root of 4998428400 is about 70699.5643550934. The cubic root of 4998428400 is about 1709.7967680224.

The spelling of 4998428400 in words is "four billion, nine hundred ninety-eight million, four hundred twenty-eight thousand, four hundred".