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2047488 = 2933143
BaseRepresentation
bin111110011111000000000
310212000121220
413303320000
51011004423
6111515040
723255232
oct7637000
93760556
102047488
111179343
12828a80
13568c41
143b4252
152a69e3
hex1f3e00

2047488 has 80 divisors (see below), whose sum is σ = 5761536. Its totient is φ = 645120.

The previous prime is 2047481. The next prime is 2047501. The reversal of 2047488 is 8847402.

2047488 is nontrivially palindromic in base 7.

It is a super-2 number, since 2×20474882 = 8384414220288, which contains 22 as substring.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2047481) 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, 47595 + ... + 47637.

22047488 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 2047488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2880768).

2047488 is an abundant number, since it is smaller than the sum of its proper divisors (3714048).

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

2047488 is an equidigital number, since it uses as much as digits as its factorization.

2047488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 33.

The square root of 2047488 is about 1430.9046089799. The cubic root of 2047488 is about 126.9815006018.

The spelling of 2047488 in words is "two million, forty-seven thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 43 48 62 64 86 93 96 124 128 129 172 186 192 248 256 258 344 372 384 496 512 516 688 744 768 992 1032 1333 1376 1488 1536 1984 2064 2666 2752 2976 3968 3999 4128 5332 5504 5952 7936 7998 8256 10664 11008 11904 15872 15996 16512 21328 22016 23808 31992 33024 42656 47616 63984 66048 85312 127968 170624 255936 341248 511872 682496 1023744 2047488