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2048352 = 253191123
BaseRepresentation
bin111110100000101100000
310212001210220
413310011200
51011021402
6111523040
723260605
oct7640540
93761726
102048352
111179a59
12829480
13569457
143b46ac
152a6dbc
hex1f4160

2048352 has 48 divisors (see below), whose sum is σ = 5664960. Its totient is φ = 646272.

The previous prime is 2048339. The next prime is 2048353. The reversal of 2048352 is 2538402.

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 an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2048353) 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, 1263 + ... + 2385.

It is an arithmetic number, because the mean of its divisors is an integer number (118020).

22048352 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 2048352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2832480).

2048352 is an abundant number, since it is smaller than the sum of its proper divisors (3616608).

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

2048352 is a wasteful number, since it uses less digits than its factorization.

2048352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1155 (or 1147 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 2048352 is about 1431.2064840546. The cubic root of 2048352 is about 126.9993593288. Note that the first 3 decimals are identical.

The spelling of 2048352 in words is "two million, forty-eight thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 304 456 608 912 1123 1824 2246 3369 4492 6738 8984 13476 17968 21337 26952 35936 42674 53904 64011 85348 107808 128022 170696 256044 341392 512088 682784 1024176 2048352