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1949328 = 243213537
BaseRepresentation
bin111011011111010010000
310200000222100
413123322100
5444334303
6105440400
722366113
oct7337220
93600870
101949328
111111617
127a0100
13533364
1438a57a
152878a3
hex1dbe90

1949328 has 30 divisors (see below), whose sum is σ = 5455814. Its totient is φ = 649728.

The previous prime is 1949327. The next prime is 1949333. The reversal of 1949328 is 8239491.

It can be written as a sum of positive squares in only one way, i.e., 1937664 + 11664 = 1392^2 + 108^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 1949292 and 1949301.

It is not an unprimeable number, because it can be changed into a prime (1949327) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6625 + ... + 6912.

21949328 is an apocalyptic number.

1949328 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1949328 is an abundant number, since it is smaller than the sum of its proper divisors (3506486).

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

1949328 is a wasteful number, since it uses less digits than its factorization.

1949328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13551 (or 13542 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 1949328 is about 1396.1833690458. The cubic root of 1949328 is about 124.9189447851.

The spelling of 1949328 in words is "one million, nine hundred forty-nine thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 13537 27074 40611 54148 81222 108296 121833 162444 216592 243666 324888 487332 649776 974664 1949328