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1919424 = 26313769
BaseRepresentation
bin111010100100111000000
310121111221210
413110213000
5442410144
6105050120
722212663
oct7244700
93544853
101919424
1110a1101
12786940
13522870
1437d6da
1527dab9
hex1d49c0

1919424 has 56 divisors (see below), whose sum is σ = 5476240. Its totient is φ = 589824.

The previous prime is 1919387. The next prime is 1919429. The reversal of 1919424 is 4249191.

It is a junction number, because it is equal to n+sod(n) for n = 1919391 and 1919400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1919429) 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, 2112 + ... + 2880.

It is an arithmetic number, because the mean of its divisors is an integer number (97790).

21919424 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 1919424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2738120).

1919424 is an abundant number, since it is smaller than the sum of its proper divisors (3556816).

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

1919424 is a wasteful number, since it uses less digits than its factorization.

1919424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 797 (or 787 counting only the distinct ones).

The product of its digits is 2592, while the sum is 30.

The square root of 1919424 is about 1385.4327843674. The cubic root of 1919424 is about 124.2768700650.

The spelling of 1919424 in words is "one million, nine hundred nineteen thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 192 208 312 416 624 769 832 1248 1538 2307 2496 3076 4614 6152 9228 9997 12304 18456 19994 24608 29991 36912 39988 49216 59982 73824 79976 119964 147648 159952 239928 319904 479856 639808 959712 1919424