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1998948 = 223753449
BaseRepresentation
bin111101000000001100100
310202120001010
413220001210
51002431243
6110502220
722663560
oct7500144
93676033
101998948
111145926
12804970
1354cb13
143a06a0
15297433
hex1e8064

1998948 has 48 divisors (see below), whose sum is σ = 5443200. Its totient is φ = 559104.

The previous prime is 1998947. The next prime is 1998949. The reversal of 1998948 is 8498991.

1998948 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1998947) and next prime (1998949).

It is a junction number, because it is equal to n+sod(n) for n = 1998897 and 1998906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1998943) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4228 + ... + 4676.

It is an arithmetic number, because the mean of its divisors is an integer number (113400).

21998948 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 1998948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2721600).

1998948 is an abundant number, since it is smaller than the sum of its proper divisors (3444252).

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

1998948 is a wasteful number, since it uses less digits than its factorization.

1998948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516 (or 514 counting only the distinct ones).

The product of its digits is 186624, while the sum is 48.

The square root of 1998948 is about 1413.8415752835. The cubic root of 1998948 is about 125.9700104994.

The spelling of 1998948 in words is "one million, nine hundred ninety-eight thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 53 84 106 159 212 318 371 449 636 742 898 1113 1347 1484 1796 2226 2694 3143 4452 5388 6286 9429 12572 18858 23797 37716 47594 71391 95188 142782 166579 285564 333158 499737 666316 999474 1998948