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1948880 = 245171433
BaseRepresentation
bin111011011110011010000
310200000100202
413123303100
5444331010
6105434332
722364603
oct7336320
93600322
101948880
11111124a
1279b9a8
135330ab
1438a33a
152876a5
hex1dbcd0

1948880 has 40 divisors (see below), whose sum is σ = 4801032. Its totient is φ = 733184.

The previous prime is 1948867. The next prime is 1948883. The reversal of 1948880 is 888491.

It can be written as a sum of positive squares in 4 ways, for example, as 712336 + 1236544 = 844^2 + 1112^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a plaindrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1948883) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 644 + ... + 2076.

21948880 is an apocalyptic number.

1948880 is a gapful number since it is divisible by the number (10) 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 1948880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2400516).

1948880 is an abundant number, since it is smaller than the sum of its proper divisors (2852152).

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

1948880 is a wasteful number, since it uses less digits than its factorization.

1948880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1463 (or 1457 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 38.

The square root of 1948880 is about 1396.0229224479. The cubic root of 1948880 is about 124.9093743118.

The spelling of 1948880 in words is "one million, nine hundred forty-eight thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1360 1433 2866 5732 7165 11464 14330 22928 24361 28660 48722 57320 97444 114640 121805 194888 243610 389776 487220 974440 1948880