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2108352 = 26379139
BaseRepresentation
bin1000000010101111000000
310222010010010
420002233000
51014431402
6113104520
723630541
oct10025700
93863103
102108352
111210044
12858140
1358a85c
143cc4c8
152b9a6c
hex202bc0

2108352 has 56 divisors (see below), whose sum is σ = 5689600. Its totient is φ = 688896.

The previous prime is 2108347. The next prime is 2108363. The reversal of 2108352 is 2538012.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15099 + ... + 15237.

It is an arithmetic number, because the mean of its divisors is an integer number (101600).

22108352 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 2108352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2844800).

2108352 is an abundant number, since it is smaller than the sum of its proper divisors (3581248).

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

2108352 is a wasteful number, since it uses less digits than its factorization.

2108352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 2108352 is about 1452.0165288315. The cubic root of 2108352 is about 128.2274601399.

The spelling of 2108352 in words is "two million, one hundred eight thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 79 96 139 158 192 237 278 316 417 474 556 632 834 948 1112 1264 1668 1896 2224 2528 3336 3792 4448 5056 6672 7584 8896 10981 13344 15168 21962 26688 32943 43924 65886 87848 131772 175696 263544 351392 527088 702784 1054176 2108352