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2098544448 = 2637111361179
BaseRepresentation
bin111110100010101…
…0011111101000000
312102020210002210110
41331011103331000
513244211410243
6544123031320
7103001222250
oct17505237500
95366702713
102098544448
11987634560
124a696b540
132759cb4a0
1415c9cb960
15c437ae33
hex7d153f40

2098544448 has 448 divisors, whose sum is σ = 7619512320. Its totient is φ = 492134400.

The previous prime is 2098544443. The next prime is 2098544467. The reversal of 2098544448 is 8444458902.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a junction number, because it is equal to n+sod(n) for n = 2098544397 and 2098544406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2098544443) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11723623 + ... + 11723801.

It is an arithmetic number, because the mean of its divisors is an integer number (17007840).

Almost surely, 22098544448 is an apocalyptic number.

2098544448 is a gapful number since it is divisible by the number (28) 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 2098544448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3809756160).

2098544448 is an abundant number, since it is smaller than the sum of its proper divisors (5520967872).

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

2098544448 is a wasteful number, since it uses less digits than its factorization.

2098544448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 48.

The square root of 2098544448 is about 45809.8728223513. The cubic root of 2098544448 is about 1280.2832315942.

The spelling of 2098544448 in words is "two billion, ninety-eight million, five hundred forty-four thousand, four hundred forty-eight".