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2420448 = 253191327
BaseRepresentation
bin1001001110111011100000
311112222020020
421032323200
51104423243
6123513440
726400462
oct11167340
94488206
102420448
111403578
12988880
13669924
14470132
1532c283
hex24eee0

2420448 has 48 divisors (see below), whose sum is σ = 6693120. Its totient is φ = 763776.

The previous prime is 2420423. The next prime is 2420459. The reversal of 2420448 is 8440242.

2420448 is nontrivially palindromic in base 7.

2420448 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1161 + ... + 2487.

It is an arithmetic number, because the mean of its divisors is an integer number (139440).

22420448 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 2420448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3346560).

2420448 is an abundant number, since it is smaller than the sum of its proper divisors (4272672).

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

2420448 is a wasteful number, since it uses less digits than its factorization.

2420448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1359 (or 1351 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 2420448 is about 1555.7789046005. The cubic root of 2420448 is about 134.2657531390.

The spelling of 2420448 in words is "two million, four hundred twenty thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 304 456 608 912 1327 1824 2654 3981 5308 7962 10616 15924 21232 25213 31848 42464 50426 63696 75639 100852 127392 151278 201704 302556 403408 605112 806816 1210224 2420448