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2057352 = 233117793
BaseRepresentation
bin111110110010010001000
310212112011020
413312102020
51011313402
6112032440
723326053
oct7662210
93775136
102057352
1111857a0
12832720
1357058b
143b7a9a
152a98bc
hex1f6488

2057352 has 32 divisors (see below), whose sum is σ = 5611680. Its totient is φ = 623360.

The previous prime is 2057333. The next prime is 2057353. The reversal of 2057352 is 2537502.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nialpdrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (2057353) 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, 3633 + ... + 4160.

It is an arithmetic number, because the mean of its divisors is an integer number (175365).

22057352 is an apocalyptic number.

2057352 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2057352 is an abundant number, since it is smaller than the sum of its proper divisors (3554328).

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

2057352 is a wasteful number, since it uses less digits than its factorization.

2057352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7813 (or 7809 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 24.

The square root of 2057352 is about 1434.3472382934. The cubic root of 2057352 is about 127.1850898231.

It can be divided in two parts, 205 and 7352, that added together give a palindrome (7557).

The spelling of 2057352 in words is "two million, fifty-seven thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 7793 15586 23379 31172 46758 62344 85723 93516 171446 187032 257169 342892 514338 685784 1028676 2057352