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2672352 = 25341031
BaseRepresentation
bin1010001100011011100000
312000202210000
422030123200
51141003402
6133140000
731500054
oct12143340
95022700
102672352
111565861
12a8a600
13727497
144d7c64
1537bc1c
hex28c6e0

2672352 has 60 divisors (see below), whose sum is σ = 7866936. Its totient is φ = 889920.

The previous prime is 2672323. The next prime is 2672357. The reversal of 2672352 is 2532762.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2672357) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2077 + ... + 3107.

22672352 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 2672352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3933468).

2672352 is an abundant number, since it is smaller than the sum of its proper divisors (5194584).

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

2672352 is a wasteful number, since it uses less digits than its factorization.

2672352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1053 (or 1036 counting only the distinct ones).

The product of its digits is 5040, while the sum is 27.

The square root of 2672352 is about 1634.7330057230. The cubic root of 2672352 is about 138.7707346661.

The spelling of 2672352 in words is "two million, six hundred seventy-two thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 1031 1296 2062 2592 3093 4124 6186 8248 9279 12372 16496 18558 24744 27837 32992 37116 49488 55674 74232 83511 98976 111348 148464 167022 222696 296928 334044 445392 668088 890784 1336176 2672352