Search a number
-
+
2057496 = 233737331
BaseRepresentation
bin111110110010100011000
310212112100120
413312110120
51011314441
6112033240
723326350
oct7662430
93775316
102057496
111185911
12832820
1357066c
143b7b60
152a9966
hex1f6518

2057496 has 64 divisors (see below), whose sum is σ = 6055680. Its totient is φ = 570240.

The previous prime is 2057483. The next prime is 2057537. The reversal of 2057496 is 6947502.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6051 + ... + 6381.

It is an arithmetic number, because the mean of its divisors is an integer number (94620).

22057496 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 2057496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3027840).

2057496 is an abundant number, since it is smaller than the sum of its proper divisors (3998184).

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

2057496 is a wasteful number, since it uses less digits than its factorization.

2057496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 2057496 is about 1434.3974344651. The cubic root of 2057496 is about 127.1880571043.

The spelling of 2057496 in words is "two million, fifty-seven thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 37 42 56 74 84 111 148 168 222 259 296 331 444 518 662 777 888 993 1036 1324 1554 1986 2072 2317 2648 3108 3972 4634 6216 6951 7944 9268 12247 13902 18536 24494 27804 36741 48988 55608 73482 85729 97976 146964 171458 257187 293928 342916 514374 685832 1028748 2057496