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2472834 = 237213647
BaseRepresentation
bin1001011011101110000010
311122122002110
421123232002
51113112314
6125000150
730006300
oct11335602
94578073
102472834
111439971
129b3056
13687720
14485270
1533ca59
hex25bb82

2472834 has 48 divisors (see below), whose sum is σ = 6205248. Its totient is φ = 651168.

The previous prime is 2472823. The next prime is 2472851. The reversal of 2472834 is 4382742.

2472834 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×24728342 = 12229815983112, which contains 22 as substring.

It is a d-powerful number, because it can be written as 213 + 48 + 77 + 219 + 83 + 37 + 410 .

Its product of digits (10752) is a multiple of the sum of its prime divisors (672).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3499 + ... + 4145.

It is an arithmetic number, because the mean of its divisors is an integer number (129276).

22472834 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2472834, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3102624).

2472834 is an abundant number, since it is smaller than the sum of its proper divisors (3732414).

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

2472834 is a wasteful number, since it uses less digits than its factorization.

2472834 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 679 (or 672 counting only the distinct ones).

The product of its digits is 10752, while the sum is 30.

The square root of 2472834 is about 1572.5247215863. The cubic root of 2472834 is about 135.2274902377.

It can be divided in two parts, 247 and 2834, that added together give a triangular number (3081 = T78).

The spelling of 2472834 in words is "two million, four hundred seventy-two thousand, eight hundred thirty-four".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 49 78 91 98 147 182 273 294 546 637 647 1274 1294 1911 1941 3822 3882 4529 8411 9058 13587 16822 25233 27174 31703 50466 58877 63406 95109 117754 176631 190218 353262 412139 824278 1236417 2472834