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2049632 = 25132379
BaseRepresentation
bin111110100011001100000
310212010120022
413310121200
51011042012
6111533012
723264414
oct7643140
93763508
102049632
11117aa12
1282a168
13569c00
143b4d44
152a7472
hex1f4660

2049632 has 36 divisors (see below), whose sum is σ = 4381020. Its totient is φ = 943488.

The previous prime is 2049629. The next prime is 2049643. The reversal of 2049632 is 2369402.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5219 + ... + 5597.

It is an arithmetic number, because the mean of its divisors is an integer number (121695).

22049632 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 2049632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2190510).

2049632 is an abundant number, since it is smaller than the sum of its proper divisors (2331388).

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

2049632 is a wasteful number, since it uses less digits than its factorization.

2049632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

The square root of 2049632 is about 1431.6535893854. The cubic root of 2049632 is about 127.0258074736.

The spelling of 2049632 in words is "two million, forty-nine thousand, six hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 32 52 104 169 208 338 379 416 676 758 1352 1516 2704 3032 4927 5408 6064 9854 12128 19708 39416 64051 78832 128102 157664 256204 512408 1024816 2049632