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2048032 = 25741223
BaseRepresentation
bin111110100000000100000
310212001101001
413310000200
51011014112
6111521344
723256640
oct7640040
93761331
102048032
111179798
12829254
1356926c
143b4520
152a6c57
hex1f4020

2048032 has 48 divisors (see below), whose sum is σ = 4741632. Its totient is φ = 852480.

The previous prime is 2048027. The next prime is 2048063. The reversal of 2048032 is 2308402.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9073 + ... + 9295.

It is an arithmetic number, because the mean of its divisors is an integer number (98784).

22048032 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 2048032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2370816).

2048032 is an abundant number, since it is smaller than the sum of its proper divisors (2693600).

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

2048032 is a wasteful number, since it uses less digits than its factorization.

2048032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 2048032 is about 1431.0946858961. The cubic root of 2048032 is about 126.9927455711.

The spelling of 2048032 in words is "two million, forty-eight thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 41 56 82 112 164 223 224 287 328 446 574 656 892 1148 1312 1561 1784 2296 3122 3568 4592 6244 7136 9143 9184 12488 18286 24976 36572 49952 64001 73144 128002 146288 256004 292576 512008 1024016 2048032