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2057562 = 23413977
BaseRepresentation
bin111110110010101011010
310212112110000
413312111122
51011320222
6112033430
723326503
oct7662532
93775400
102057562
111185971
12832876
135706c0
143b7baa
152a99ac
hex1f655a

2057562 has 40 divisors (see below), whose sum is σ = 4970196. Its totient is φ = 632448.

The previous prime is 2057543. The next prime is 2057569. The reversal of 2057562 is 2657502.

It can be written as a sum of positive squares in 2 ways, for example, as 2047761 + 9801 = 1431^2 + 99^2 .

It is a super-2 number, since 2×20575622 = 8467122767688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2057569) 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 19 ways as a sum of consecutive naturals, for example, 1618 + ... + 2594.

22057562 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2057562, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2485098).

2057562 is an abundant number, since it is smaller than the sum of its proper divisors (2912634).

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

2057562 is a wasteful number, since it uses less digits than its factorization.

2057562 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1004 (or 995 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 2057562 is about 1434.4204404567. The cubic root of 2057562 is about 127.1894170619.

The spelling of 2057562 in words is "two million, fifty-seven thousand, five hundred sixty-two".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 81 117 162 234 351 702 977 1053 1954 2106 2931 5862 8793 12701 17586 25402 26379 38103 52758 76206 79137 114309 158274 228618 342927 685854 1028781 2057562