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4998672 = 243471929
BaseRepresentation
bin10011000100011000010000
3100101221220000
4103010120100
52234424142
6255050000
760326250
oct23043020
910357800
104998672
112904638
121810900
1310602c3
14941960
1568b14c
hex4c4610

4998672 has 200 divisors, whose sum is σ = 18004800. Its totient is φ = 1306368.

The previous prime is 4998671. The next prime is 4998673. The reversal of 4998672 is 2768994.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4998671) and next prime (4998673).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (4998671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 172354 + ... + 172382.

It is an arithmetic number, because the mean of its divisors is an integer number (90024).

Almost surely, 24998672 is an apocalyptic number.

4998672 is a gapful number since it is divisible by the number (42) 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 4998672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9002400).

4998672 is an abundant number, since it is smaller than the sum of its proper divisors (13006128).

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

4998672 is a wasteful number, since it uses less digits than its factorization.

4998672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 60 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 4998672 is about 2235.7710079523. The cubic root of 4998672 is about 170.9824543401.

The spelling of 4998672 in words is "four million, nine hundred ninety-eight thousand, six hundred seventy-two".