Search a number
-
+
2057376 = 25329739
BaseRepresentation
bin111110110010010100000
310212112012010
413312102200
51011314001
6112032520
723326116
oct7662240
93775163
102057376
111185812
12832740
135705a9
143b7ab6
152a98d6
hex1f64a0

2057376 has 48 divisors (see below), whose sum is σ = 5594400. Its totient is φ = 661248.

The previous prime is 2057371. The next prime is 2057381. The reversal of 2057376 is 6737502.

It is an interprime number because it is at equal distance from previous prime (2057371) and next prime (2057381).

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (2057371) 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, 2415 + ... + 3153.

It is an arithmetic number, because the mean of its divisors is an integer number (116550).

22057376 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 2057376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2797200).

2057376 is an abundant number, since it is smaller than the sum of its proper divisors (3537024).

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

2057376 is a wasteful number, since it uses less digits than its factorization.

2057376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 781 (or 773 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 30.

The square root of 2057376 is about 1434.3556044440. The cubic root of 2057376 is about 127.1855843795.

Adding to 2057376 its sum of digits (30), we get a triangular number (2057406 = T2028).

The spelling of 2057376 in words is "two million, fifty-seven thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 87 96 116 174 232 348 464 696 739 928 1392 1478 2217 2784 2956 4434 5912 8868 11824 17736 21431 23648 35472 42862 64293 70944 85724 128586 171448 257172 342896 514344 685792 1028688 2057376