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2051424 = 253217419
BaseRepresentation
bin111110100110101100000
310212020000200
413310311200
51011121144
6111545200
723302554
oct7646540
93766020
102051424
1111812a1
1282b200
1356a97b
143b5864
152a7c69
hex1f4d60

2051424 has 72 divisors (see below), whose sum is σ = 6191640. Its totient is φ = 642048.

The previous prime is 2051419. The next prime is 2051429. The reversal of 2051424 is 4241502.

It is an interprime number because it is at equal distance from previous prime (2051419) and next prime (2051429).

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2051397 and 2051406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2051429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4687 + ... + 5105.

It is an arithmetic number, because the mean of its divisors is an integer number (85995).

22051424 is an apocalyptic number.

2051424 is a gapful number since it is divisible by the number (24) 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 2051424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3095820).

2051424 is an abundant number, since it is smaller than the sum of its proper divisors (4140216).

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

2051424 is a wasteful number, since it uses less digits than its factorization.

2051424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 2051424 is about 1432.2793023709. The cubic root of 2051424 is about 127.0628163838.

Adding to 2051424 its reverse (4241502), we get a palindrome (6292926).

The spelling of 2051424 in words is "two million, fifty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 68 72 96 102 136 144 153 204 272 288 306 408 419 544 612 816 838 1224 1257 1632 1676 2448 2514 3352 3771 4896 5028 6704 7123 7542 10056 13408 14246 15084 20112 21369 28492 30168 40224 42738 56984 60336 64107 85476 113968 120672 128214 170952 227936 256428 341904 512856 683808 1025712 2051424