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2049948 = 22361937
BaseRepresentation
bin111110100011110011100
310212011000000
413310132130
51011044243
6111534300
723265345
oct7643634
93764000
102049948
11118017a
1282a390
1356a0b4
143b50cc
152a75d3
hex1f479c

2049948 has 84 divisors (see below), whose sum is σ = 5814760. Its totient is φ = 629856.

The previous prime is 2049941. The next prime is 2049953. The reversal of 2049948 is 8499402.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2049941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 55386 + ... + 55422.

22049948 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 2049948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2907380).

2049948 is an abundant number, since it is smaller than the sum of its proper divisors (3764812).

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

2049948 is a wasteful number, since it uses less digits than its factorization.

2049948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 2049948 is about 1431.7639470248. The cubic root of 2049948 is about 127.0323351645.

The spelling of 2049948 in words is "two million, forty-nine thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 37 38 54 57 74 76 81 108 111 114 148 162 171 222 228 243 324 333 342 444 486 513 666 684 703 729 972 999 1026 1332 1406 1458 1539 1998 2052 2109 2812 2916 2997 3078 3996 4218 4617 5994 6156 6327 8436 8991 9234 11988 12654 13851 17982 18468 18981 25308 26973 27702 35964 37962 53946 55404 56943 75924 107892 113886 170829 227772 341658 512487 683316 1024974 2049948