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2419472 = 241159233
BaseRepresentation
bin1001001110101100010000
311112220220002
421032230100
51104410342
6123505132
726364566
oct11165420
94486802
102419472
111402870
129881a8
13669353
1446da36
1532bd32
hex24eb10

2419472 has 40 divisors (see below), whose sum is σ = 5222880. Its totient is φ = 1076480.

The previous prime is 2419463. The next prime is 2419489. The reversal of 2419472 is 2749142.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10268 + ... + 10500.

It is an arithmetic number, because the mean of its divisors is an integer number (130572).

22419472 is an apocalyptic number.

2419472 is a gapful number since it is divisible by the number (22) 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 2419472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2611440).

2419472 is an abundant number, since it is smaller than the sum of its proper divisors (2803408).

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

2419472 is a wasteful number, since it uses less digits than its factorization.

2419472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 305 counting only the distinct ones).

The product of its digits is 4032, while the sum is 29.

The square root of 2419472 is about 1555.4652037252. The cubic root of 2419472 is about 134.2477040020.

The spelling of 2419472 in words is "two million, four hundred nineteen thousand, four hundred seventy-two".

Divisors: 1 2 4 8 11 16 22 44 59 88 118 176 233 236 466 472 649 932 944 1298 1864 2563 2596 3728 5126 5192 10252 10384 13747 20504 27494 41008 54988 109976 151217 219952 302434 604868 1209736 2419472